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refactor: golf wrapper proofs#1332

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Open

refactor: golf wrapper proofs#1332
Vilin97 wants to merge 499 commits into
leanprover-community:masterfrom
Vilin97:codex/golf-proofs-next

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@Vilin97

@Vilin97 Vilin97 commented Jun 30, 2026

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Summary

  • Golf 3218 proof bodies/fields across Physlib and QuantumInfo wrapper APIs, keeping declaration statements and mathematical content unchanged.
  • Changes are proof-only line reductions: direct proof terms, one-line tactic wrappers, and removal of redundant setup steps where the final proof command already proves the goal.
  • Audit cleanup removed prior non-golf/line-expanded rewrites, including neutral rfl churn in Physlib/ClassicalMechanics/HarmonicOscillator/Basic.lean.
  • Current strict audit invariant: zero non-reducing Lean hunks, zero by rfl split regressions, zero files with nonnegative net Lean line delta, and zero non-shrinking sequence edit blocks.
  • Latest batch shortens seven Hermitian log/exp commutation, hypercharge quadratic, and canonical-ensemble finite-measure wrappers.

Added/Removed Declarations

  • Added definitions: none.
  • Added lemmas/theorems: none.
  • Removed definitions: none.
  • Removed lemmas/theorems: none.

Reviewer Map

  1. Start with the strict audit result and file stats to confirm every Lean edit is a real line reduction.
  2. Review commits by batch; each commit title names the proof family/file area it touches.
  3. For high-sensitivity spots, prioritize commits touching QuantumInfo trace inequalities, relativity tensor APIs, QFT Wick/QED files, and space/time derivative infrastructure.
  4. The latest commits are small wrapper collapses in units, space/time, tensor, calculus, Hermitian-matrix, finite-sum, and canonical-ensemble APIs.

Verification

  • Latest Hermitian/statmech wrapper proof checks: lake env lean QuantumInfo/ForMathlib/HermitianMat/LogExp.lean; lake env lean Physlib/Particles/BeyondTheStandardModel/RHN/AnomalyCancellation/PlusU1/HyperCharge.lean; lake env lean Physlib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • Latest proof/style checks: git diff --check; ./scripts/lint-style.sh
  • Latest strict audit: working hunks=0 nonreducing=0 by_rfl_splits=0; PR hunks=2433 nonreducing=0 by_rfl_splits=0; files_with_nonnegative_net=0; nonshrinking sequence edit blocks=0
  • Known command-line blockers for some skipped/older candidate files remain missing generated .olean dependencies such as Physlib/SpaceAndTime/SpaceTime/Derivatives.olean, Physlib/Units/WithDim/Speed.olean, and QuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.olean.

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Thank you for this PR, which will now be reviewed. If submitting to ./Physlib or ./QuantumInfo, please see our review guidelines if you are not familiar with the process. You should expect a back and forth with a reviewer before your PR is merged. See also that link for how to add appropriate labels to your PR. The PR will also go through a number of automated checks. You can learn more about these here, including how to run them locally.

If you are submitting to ./PhyslibAlpha there will be a lighter review process, though your PR must still pass the automated checks.

If you want to bring attention to this PR, please write a message on this thread of the Lean Zulip.

Important: If a reviewer adds an awaiting-author label to your PR, once you have addressed the review comments, please remove that label by adding a comment with -awaiting-author. This helps us keep track of reviews.

@Vilin97 Vilin97 changed the title refactor(units): golf wrapper proofs refactor: golf wrapper proofs Jun 30, 2026
Vilin97 and others added 28 commits June 30, 2026 22:14
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Restore the local Relative entropy kernel witness that a previous golf left referenced, and avoid the recursive Pinching unfold while keeping the channel proof reductions.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Compress a mirrored matrix-basis reconstruction and direct small Lorentz, entropy, and purity witnesses.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Replace small local exact wrappers with direct proof terms in list, entropy, and Hermitian matrix witnesses.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Replace five bundled channel extensionality by-exact wrappers with direct proof terms.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Replace complex tensor metric and unit invariance tactic wrappers with direct invariant proof terms.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Replace six complex tensor unit fromConstPair wrappers with direct rfl proofs.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Compress metric fromConstPair identities, real tensor metric invariance, and Wick contraction permutation reflexivity.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Use direct equality and invariant proof terms for Wick contraction permutations, exchange signs, and tensor invariance wrappers.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Vilin97 and others added 15 commits July 1, 2026 14:53
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
@Vilin97 Vilin97 marked this pull request as ready for review July 2, 2026 05:12
# Conflicts:
#	Physlib/QuantumMechanics/DDimensions/SpaceDHilbertSpace/PolyBddSchwartzSubmodule.lean
#	Physlib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
#	Physlib/Relativity/Tensors/RealTensor/Vector/Pre/Basic.lean
#	Physlib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
@jstoobysmith

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@Vilin97 I think there is some merge error going on now, as your PR is showing changes from other PRs which have already been merged.

@Vilin97

Vilin97 commented Jul 2, 2026

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🏌️ check-golf report

Comparing base 145fc7eb → head 60b5891b across 358 changed Lean file(s).

Result: ✅ Statements preserved. Every changed declaration kept its statement; only proofs / bodies changed.

Category Count
Proofs golfed (statement unchanged) 1322
Embedded proofs golfed (type unchanged) 1
Definition proofs golfed (data unchanged) 69
Definition bodies changed (data may have changed, type unchanged) 41
Statements changed 0
Declarations added 0
Declarations removed 0

Of the golfed proofs/bodies above, the trivial reshapes were:

Golf shape Count
Only a newline removed (proof reflowed, tokens unchanged) 518
Declarations with tactics joined by ; 0
— total ; tactic-joins introduced 0
🔧 Definition bodies changed (data may have changed, type unchanged) (41)

The defining term outside by proof blocks changed, or the whole body is one by block. The data may or may not have actually changed — flagged for a human glance.

  • ClassicalMechanics.HarmonicOscillator.ConfigurationSpace.valHomeomorphismPhyslib/ClassicalMechanics/HarmonicOscillator/Geometric/Basic.lean
  • Electromagnetism.DistLorentzCurrentDensity.currentDensityPhyslib/Electromagnetism/Distributional/Dynamics/CurrentDensity.lean
  • Physlib.Distribution.constPhyslib/Mathematics/Distribution/Basic.lean
  • Physlib.Distribution.heavisideStepPhyslib/Mathematics/Distribution/Basic.lean
  • Physlib.Distribution.powOneMulPhyslib/Mathematics/Distribution/PowMul.lean
  • InnerProductSpaceSubmodule.submoduleToLpPhyslib/Mathematics/InnerProductSpace/Submodule.lean
  • Physlib.RatComplexNum.equivToProdPhyslib/Mathematics/RatComplexNum.lean
  • SM.SMNoGravPhyslib/Particles/StandardModel/AnomalyCancellation/NoGrav/Basic.lean
  • FieldSpecification.CrAnSection.consEquivPhyslib/QFT/PerturbationTheory/FieldSpecification/CrAnSection.lean
  • FieldSpecification.CrAnSection.singletonEquivPhyslib/QFT/PerturbationTheory/FieldSpecification/CrAnSection.lean
  • WickContraction.sigmaContractedEquivPhyslib/QFT/PerturbationTheory/WickContraction/Basic.lean
  • WickContraction.consAddContractPhyslib/QFT/PerturbationTheory/WickContraction/Card.lean
  • WickContraction.insertAndContractNatPhyslib/QFT/PerturbationTheory/WickContraction/InsertAndContractNat.lean
  • WickContraction.isFullInvolutionEquivPhyslib/QFT/PerturbationTheory/WickContraction/IsFull.lean
  • PureU1.BasisLinear.coordinateMapPhyslib/QFT/QED/AnomalyCancellation/BasisLinear.lean
  • LorentzGroup.toRotationPhyslib/Relativity/LorentzGroup/Restricted/FromBoostRotation.lean
  • Lorentz.SL2C.toLorentzGroupPhyslib/Relativity/SL2C/Basic.lean
  • Fermion.leftHandedDualEquivPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Basic.lean
  • EuclideanGroup._root_.AffineIsometryEquiv.toAffineEquivHomPhyslib/SpaceAndTime/Space/EuclideanGroup/AffineGroup.lean
  • EuclideanGroup.toAffineIsometryHomPhyslib/SpaceAndTime/Space/EuclideanGroup/AffineGroup.lean
  • Space.basisPhyslib/SpaceAndTime/Space/Module.lean
  • SpaceTime.coordPhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.coordCLMPhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.distDerivPhyslib/SpaceAndTime/SpaceTime/Derivatives.lean
  • SpaceTime.distTimeSlicePhyslib/SpaceAndTime/SpaceTime/TimeSlice.lean
  • Time.basisPhyslib/SpaceAndTime/Time/Basic.lean
  • Time.toRealLIEPhyslib/SpaceAndTime/Time/Basic.lean
  • TimeMan.valDiffeomorphismPhyslib/SpaceAndTime/Time/TimeMan.lean
  • TimeMan.valHomeomorphismPhyslib/SpaceAndTime/Time/TimeMan.lean
  • TimeTransMan.valDiffeomorphismPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.valHomeomorphismPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • Space.distSpaceDerivPhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • Space.distTimeDerivPhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • instUnitDependentTwoSidedMulPhyslib/Units/UnitDependent.lean
  • CPTPMap.traceLeftQuantumInfo/Channels/CPTP.lean
  • ProbDistribution.congrQuantumInfo/ClassicalInfo/Distribution.lean
  • H₁_one_eq_zeroQuantumInfo/ClassicalInfo/Entropy.lean
  • H₁_zero_eq_zeroQuantumInfo/ClassicalInfo/Entropy.lean
  • HilbertSchmidtOperatorSpace.opStarHSStarAlgHomQuantumInfo/ForMathlib/HayataGroup/TraceInequality/HilbertSchmidtOperatorSpace.lean
  • HermitianMat.nonSingular_expQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • MState.spectrum_SWAPQuantumInfo/States/Mixed/MState.lean
✅ Proofs golfed (1322)
  • ClassicalMechanics.DampedHarmonicOscillator.decayRate_nonnegPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.energy_not_conservedPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.isCriticallyDamped_decayRatePhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.isOverdamped_decayRatePhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.isUnderdamped_decayRatePhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.isUnderdamped_of_gamma_eq_zeroPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.exp_decay_smul_accelerationPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Solution.lean
  • ClassicalMechanics.DampedHarmonicOscillator.exp_decay_smul_equationOfMotionPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Solution.lean
  • ClassicalMechanics.DampedHarmonicOscillator.exp_decay_smul_velocityPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Solution.lean
  • ClassicalMechanics.hamiltonEqOp_eqPhyslib/ClassicalMechanics/HamiltonsEquations.lean
  • ClassicalMechanics.HarmonicOscillator.energy_derivPhyslib/ClassicalMechanics/HarmonicOscillator/Basic.lean
  • ClassicalMechanics.HarmonicOscillator.kineticEnergy_derivPhyslib/ClassicalMechanics/HarmonicOscillator/Basic.lean
  • ClassicalMechanics.HarmonicOscillator.potentialEnergy_derivPhyslib/ClassicalMechanics/HarmonicOscillator/Basic.lean
  • ClassicalMechanics.HarmonicOscillator.ω_sqPhyslib/ClassicalMechanics/HarmonicOscillator/Basic.lean
  • ClassicalMechanics.HarmonicOscillator.InitialConditions.trajectories_uniquePhyslib/ClassicalMechanics/HarmonicOscillator/Solution.lean
  • ClassicalMechanics.HarmonicOscillator.InitialConditions.trajectory_velocity_eq_zero_iff_norm_eq_amplitudePhyslib/ClassicalMechanics/HarmonicOscillator/Solution.lean
  • ClassicalMechanics.HarmonicOscillator.return_timePhyslib/ClassicalMechanics/HarmonicOscillator/Solution.lean
  • ClassicalMechanics.HarmonicOscillator.trajectory_periodicPhyslib/ClassicalMechanics/HarmonicOscillator/Solution.lean
  • ClassicalMechanics.Lagrangian.isTotalTimeDerivative_explicitPhyslib/ClassicalMechanics/Lagrangian/TotalDerivativeEquivalence.lean
  • MassUnit.div_selfPhyslib/ClassicalMechanics/Mass/MassUnit.lean
  • MassUnit.scale_scalePhyslib/ClassicalMechanics/Mass/MassUnit.lean
  • MassUnit.val_ne_zeroPhyslib/ClassicalMechanics/Mass/MassUnit.lean
  • ClassicalMechanics.planeWave_apply_space_derivPhyslib/ClassicalMechanics/WaveEquation/Basic.lean
  • ClassicalMechanics.planeWave_space_derivPhyslib/ClassicalMechanics/WaveEquation/Basic.lean
  • ClassicalMechanics.planeWave_time_derivPhyslib/ClassicalMechanics/WaveEquation/Basic.lean
  • ClassicalMechanics.transverseHarmonicPlaneWave_eq_planeWavePhyslib/ClassicalMechanics/WaveEquation/HarmonicWave.lean
  • CondensedMatter.TightBindingChain.quantaWaveNumber_exp_NPhyslib/CondensedMatter/TightBindingChain/Basic.lean
  • ChargeUnit.div_selfPhyslib/Electromagnetism/Charge/ChargeUnit.lean
  • ChargeUnit.scale_scalePhyslib/Electromagnetism/Charge/ChargeUnit.lean
  • ChargeUnit.val_ne_zeroPhyslib/Electromagnetism/Charge/ChargeUnit.lean
  • Electromagnetism.DistElectromagneticPotential.distTensorDeriv_eq_sum_sumPhyslib/Electromagnetism/Distributional/Basic.lean
  • Electromagnetism.DistElectromagneticPotential.toTensor_distTensorDeriv_basis_repr_applyPhyslib/Electromagnetism/Distributional/Basic.lean
  • Electromagnetism.DistElectromagneticPotential.gradKineticTerm_eq_distTensorDerivPhyslib/Electromagnetism/Distributional/Dynamics/KineticTerm.lean
  • Electromagnetism.DistElectromagneticPotential.fieldStrengthAux_eq_addPhyslib/Electromagnetism/Distributional/FieldStrength.lean
  • Electromagnetism.DistElectromagneticPotential.fieldStrengthAux_tensor_basis_eq_basisPhyslib/Electromagnetism/Distributional/FieldStrength.lean
  • Electromagnetism.DistElectromagneticPotential.fieldStrength_eq_basisPhyslib/Electromagnetism/Distributional/FieldStrength.lean
  • Electromagnetism.LorentzCurrentDensity.chargeDensity_contDiffPhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.chargeDensity_differentiablePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.chargeDensity_differentiable_spacePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.chargeDensity_zeroPhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_ContDiffPhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_apply_differentiablePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_apply_differentiable_spacePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_apply_differentiable_timePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_differentiablePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_differentiable_spacePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_differentiable_timePhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.LorentzCurrentDensity.currentDensity_zeroPhyslib/Electromagnetism/Dynamics/CurrentDensity.lean
  • Electromagnetism.ElectromagneticPotential.hamiltonian_eq_electricField_vectorPotentialPhyslib/Electromagnetism/Dynamics/Hamiltonian.lean
  • Electromagnetism.ElectromagneticPotential.isExtrema_iff_gauss_ampere_magneticFieldMatrixPhyslib/Electromagnetism/Dynamics/IsExtrema.lean
  • Electromagnetism.ElectromagneticPotential.time_deriv_time_deriv_electricField_of_isExtremaPhyslib/Electromagnetism/Dynamics/IsExtrema.lean
  • Electromagnetism.ElectromagneticPotential.gradKineticTerm_addPhyslib/Electromagnetism/Dynamics/KineticTerm.lean
  • Electromagnetism.ElectromagneticPotential.gradKineticTerm_eq_fieldStrengthPhyslib/Electromagnetism/Dynamics/KineticTerm.lean
  • Electromagnetism.ElectromagneticPotential.gradKineticTerm_eq_tensorDerivPhyslib/Electromagnetism/Dynamics/KineticTerm.lean
  • Electromagnetism.ElectromagneticPotential.gradKineticTerm_smulPhyslib/Electromagnetism/Dynamics/KineticTerm.lean
  • Electromagnetism.ElectromagneticPotential.kineticTerm_eq_sumPhyslib/Electromagnetism/Dynamics/KineticTerm.lean
  • Electromagnetism.ElectromagneticPotential.magneticFieldMatrix_apply_x_boost_succ_succPhyslib/Electromagnetism/Kinematics/Boosts.lean
  • Electromagnetism.ElectromagneticPotential.contDiff_actionPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.contDiff_derivPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.deriv_equivariantPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.differentiable_actionPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.differentiable_componentPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.differentiable_derivPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.hasVarAdjDerivAt_componentPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.ofStaticPotentials_eq_ofPotentialsPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.toTensor_deriv_basis_repr_applyPhyslib/Electromagnetism/Kinematics/EMPotential.lean
  • Electromagnetism.ElectromagneticPotential.time_deriv_comp_vectorPotential_eq_electricFieldPhyslib/Electromagnetism/Kinematics/ElectricField.lean
  • Electromagnetism.ElectromagneticPotential.fieldStrengthMatrix_differentiable_spacePhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.fieldStrengthMatrix_differentiable_timePhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.fieldStrengthMatrix_eq_tensor_basis_reprPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.fieldStrengthMatrix_smoothPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.toFieldStrength_antisymmetricPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.toFieldStrength_basis_repr_applyPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.toFieldStrength_eq_addPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.toFieldStrength_eq_fieldStrengthMatrixPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.toFieldStrength_eq_sub_tensorDerivPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.toFieldStrength_eq_sum_basis_evalPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.toFieldStrength_tensor_basis_eq_basisPhyslib/Electromagnetism/Kinematics/FieldStrength.lean
  • Electromagnetism.ElectromagneticPotential.ofGradient_applyPhyslib/Electromagnetism/Kinematics/GaugeTransformation.lean
  • Electromagnetism.ElectromagneticPotential.curl_magneticFieldMatrix_eq_electricField_fieldStrengthMatrixPhyslib/Electromagnetism/Kinematics/MagneticField.lean
  • Electromagnetism.ElectromagneticPotential.magneticFieldMatrix_eq_vectorPotentialPhyslib/Electromagnetism/Kinematics/MagneticField.lean
  • Electromagnetism.ElectromagneticPotential.magneticField_coord_eq_fieldStrengthMatrixPhyslib/Electromagnetism/Kinematics/MagneticField.lean
  • Electromagnetism.ElectromagneticPotential.ofElectromagneticField_magneticFieldPhyslib/Electromagnetism/Kinematics/MagneticField.lean
  • Electromagnetism.ElectromagneticPotential.time_deriv_magneticFieldMatrixPhyslib/Electromagnetism/Kinematics/MagneticField.lean
  • Electromagnetism.ElectromagneticPotential.ofVectorPotential_scalarPotentialPhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.scalarPotential_contDiffPhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.scalarPotential_contDiff_spacePhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.scalarPotential_contDiff_space_of_smoothPhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.scalarPotential_contDiff_timePhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.scalarPotential_differentiablePhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.scalarPotential_differentiable_spacePhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.scalarPotential_differentiable_timePhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
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  • HasVarAdjDerivAt.fderivPhyslib/Mathematics/VariationalCalculus/HasVarAdjDeriv.lean
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  • HasVarAdjoint.fderiv_applyPhyslib/Mathematics/VariationalCalculus/HasVarAdjoint.lean
  • HasVarAdjoint.fstPhyslib/Mathematics/VariationalCalculus/HasVarAdjoint.lean
  • HasVarAdjoint.of_eqPhyslib/Mathematics/VariationalCalculus/HasVarAdjoint.lean
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  • MSSMACC.proj_valPhyslib/Particles/SuperSymmetry/MSSMNu/AnomalyCancellation/OrthogY3B3/Basic.lean
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  • SuperSymmetry.SU5.ChargeSpectrum.ofPotentialTerm'_monoPhyslib/Particles/SuperSymmetry/SU5/ChargeSpectrum/OfPotentialTerm.lean
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  • FieldSpecification.FieldOpFreeAlgebra.fermionicProjF_mulPhyslib/QFT/PerturbationTheory/FieldOpFreeAlgebra/Grading.lean
  • FieldSpecification.FieldOpFreeAlgebra.fermionicProjF_of_bosonic_partPhyslib/QFT/PerturbationTheory/FieldOpFreeAlgebra/Grading.lean
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  • FieldSpecification.FieldOpFreeAlgebra.normalOrderF_crPartF_mulPhyslib/QFT/PerturbationTheory/FieldOpFreeAlgebra/NormalOrder.lean
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  • FieldSpecification.FieldOpFreeAlgebra.normalOrderF_normalOrderF_rightPhyslib/QFT/PerturbationTheory/FieldOpFreeAlgebra/NormalOrder.lean
  • FieldSpecification.FieldOpFreeAlgebra.normalOrderF_swap_crPartF_anPartFPhyslib/QFT/PerturbationTheory/FieldOpFreeAlgebra/NormalOrder.lean
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  • FieldSpecification.FieldOpFreeAlgebra.crPartF_mul_anPartF_eq_superCommuteFPhyslib/QFT/PerturbationTheory/FieldOpFreeAlgebra/SuperCommute.lean
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  • FieldSpecification.WickAlgebra.normalOrder_normalOrder_midPhyslib/QFT/PerturbationTheory/WickAlgebra/NormalOrder/Lemmas.lean
  • FieldSpecification.WickAlgebra.normalOrder_normalOrder_rightPhyslib/QFT/PerturbationTheory/WickAlgebra/NormalOrder/Lemmas.lean
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  • FieldSpecification.WickAlgebra.normalOrder_superCommute_left_eq_zeroPhyslib/QFT/PerturbationTheory/WickAlgebra/NormalOrder/Lemmas.lean
  • FieldSpecification.WickAlgebra.normalOrder_superCommute_mid_eq_zeroPhyslib/QFT/PerturbationTheory/WickAlgebra/NormalOrder/Lemmas.lean
  • FieldSpecification.WickAlgebra.normalOrder_superCommute_right_eq_zeroPhyslib/QFT/PerturbationTheory/WickAlgebra/NormalOrder/Lemmas.lean
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  • FieldSpecification.WickAlgebra.ofFieldOpList_mul_ofFieldOp_eq_superCommutePhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
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  • FieldSpecification.WickAlgebra.superCommute_anPart_ofFieldOpPhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
  • FieldSpecification.WickAlgebra.superCommute_anPart_ofFieldOpListPhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
  • FieldSpecification.WickAlgebra.superCommute_crPart_anPartPhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
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  • FieldSpecification.WickAlgebra.superCommute_crPart_ofFieldOpListPhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
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  • FieldSpecification.WickAlgebra.superCommute_ofFieldOpList_ofFieldOpListPhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
  • FieldSpecification.WickAlgebra.superCommute_ofFieldOp_ofFieldOpListPhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
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  • FieldSpecification.WickAlgebra.timeContract_of_not_timeOrderRelPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeContraction.lean
  • FieldSpecification.WickAlgebra.timeContract_of_not_timeOrderRel_expandPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeContraction.lean
  • FieldSpecification.WickAlgebra.timeContract_of_timeOrderRelPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeContraction.lean
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  • FieldSpecification.WickAlgebra.timeOrder_ofFieldOp_ofFieldOp_not_ordered_eq_timeOrderPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeOrder.lean
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  • FieldSpecification.WickAlgebra.timeOrder_superCommute_ne_timePhyslib/QFT/PerturbationTheory/WickAlgebra/TimeOrder.lean
  • FieldSpecification.WickAlgebra.timeOrder_timeOrderPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeOrder.lean
  • FieldSpecification.WickAlgebra.timeOrder_timeOrder_leftPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeOrder.lean
  • FieldSpecification.WickAlgebra.timeOrder_timeOrder_rightPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeOrder.lean
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  • FieldSpecification.WickAlgebra.ι_timeOrderF_superCommuteF_superCommuteF_eq_time_ofCrAnListFPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeOrder.lean
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  • WickContraction.insertAndContractNat_erasePhyslib/QFT/PerturbationTheory/WickContraction/InsertAndContractNat.lean
  • WickContraction.insertAndContractNat_fstFieldOfContractPhyslib/QFT/PerturbationTheory/WickContraction/InsertAndContractNat.lean
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  • WickContraction.insertAndContractNat_sndFieldOfContractPhyslib/QFT/PerturbationTheory/WickContraction/InsertAndContractNat.lean
  • WickContraction.insertAndContractNat_some_getDual?_eqPhyslib/QFT/PerturbationTheory/WickContraction/InsertAndContractNat.lean
  • WickContraction.insertLiftSome_injectivePhyslib/QFT/PerturbationTheory/WickContraction/InsertAndContractNat.lean
  • WickContraction.self_not_mem_uncontracted_of_insertAndContractNat_somePhyslib/QFT/PerturbationTheory/WickContraction/InsertAndContractNat.lean
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  • WickContraction.exists_mem_right_uncontracted_of_mem_join_uncontractedPhyslib/QFT/PerturbationTheory/WickContraction/Join.lean
  • WickContraction.joinLift_surjectivePhyslib/QFT/PerturbationTheory/WickContraction/Join.lean
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  • WickContraction.join_singleton_getDual?_leftPhyslib/QFT/PerturbationTheory/WickContraction/Join.lean
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  • complexLorentzTensor.actionT_rightDualRightUnitPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
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  • complexLorentzTensor.coContrUnit_eq_complexCoBasisFin4_complexContrBasisFin4Physlib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.coContrUnit_eq_complexCoBasis_complexContrBasisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.coContrUnit_eq_fromConstPairPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.coContrUnit_eq_fromPairTPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.contrCoUnit_eq_basisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.contrCoUnit_eq_complexContrBasisFin4_complexCoBasisFin4Physlib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.contrCoUnit_eq_complexContrBasis_complexCoBasisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.contrCoUnit_eq_fromConstPairPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.contrCoUnit_eq_fromPairTPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualLeftLeftUnit_eq_basisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualLeftLeftUnit_eq_dualLeftBasis_leftBasisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualLeftLeftUnit_eq_fromConstPairPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualLeftLeftUnit_eq_fromPairTPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualRightRightUnit_eq_basisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualRightRightUnit_eq_dualRightBasis_rightBasisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualRightRightUnit_eq_fromConstPairPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.dualRightRightUnit_eq_fromPairTPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.leftDualLeftUnit_eq_basisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.leftDualLeftUnit_eq_fromConstPairPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.leftDualLeftUnit_eq_fromPairTPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.leftDualLeftUnit_eq_leftBasis_dualLeftBasisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.rightDualRightUnit_eq_basisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.rightDualRightUnit_eq_fromConstPairPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.rightDualRightUnit_eq_fromPairTPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • complexLorentzTensor.rightDualRightUnit_eq_rightBasis_dualRightBasisPhyslib/Relativity/Tensors/ComplexTensor/Units/Basic.lean
  • Lorentz.coContrUnit_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Units/Pre.lean
  • Lorentz.coContrUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Pre.lean
  • Lorentz.contrCoUnit_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Units/Pre.lean
  • Lorentz.contrCoUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Pre.lean
  • complexLorentzTensor.coContrUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Symm.lean
  • complexLorentzTensor.contrCoUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Symm.lean
  • complexLorentzTensor.dualLeftLeftUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Symm.lean
  • complexLorentzTensor.dualRightRightUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Symm.lean
  • complexLorentzTensor.leftDualLeftUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Symm.lean
  • complexLorentzTensor.rightDualRightUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Units/Symm.lean
  • Lorentz.CoℂModule.SL2CRep_valPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.SL2CRep_ρ_basisPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexCoBasisFin4_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexCoBasisFin4_apply_threePhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexCoBasisFin4_apply_twoPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexCoBasisFin4_apply_zeroPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexCoBasis_toFin13ℂPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexContrBasisFin4_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexContrBasisFin4_apply_threePhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexContrBasisFin4_apply_twoPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexContrBasisFin4_apply_zeroPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexContrBasis_toFin13ℂPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.complexContrBasis_ρ_valPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.inclCongrRealLorentz_ρPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Basic.lean
  • Lorentz.contrCoContraction_basis'Physlib/Relativity/Tensors/ComplexTensor/Vector/Pre/Contraction.lean
  • Fermion.comm_metricRawPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.dualLeftMetric_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.dualRightMetric_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.leftMetric_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.metricRaw_commPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.metricRaw_comm_starPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.rightMetric_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.star_comm_metricRawPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.leftRightToMatrix_ρ_symm_selfAdjointPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Two.lean
  • Fermion.dualLeftLeftUnit_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.dualLeftLeftUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.dualRightRightUnit_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.dualRightRightUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.leftDualLeftUnit_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.leftDualLeftUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.rightDualRightUnit_apply_onePhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.rightDualRightUnit_symmPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • TensorSpecies.Tensor.fromPairT_basis_reprPhyslib/Relativity/Tensors/Constructors.lean
  • TensorSpecies.Tensor.fromPairT_tmulPhyslib/Relativity/Tensors/Constructors.lean
  • TensorSpecies.Tensor.fromTripleT_basis_reprPhyslib/Relativity/Tensors/Constructors.lean
  • TensorSpecies.Tensor.fromTripleT_tmulPhyslib/Relativity/Tensors/Constructors.lean
  • TensorSpecies.Tensor.prodT_contrT_sndPhyslib/Relativity/Tensors/Contraction/Products.lean
  • TensorSpecies.Tensor.Pure.dropPair_equivariantPhyslib/Relativity/Tensors/Contraction/Pure.lean
  • TensorSpecies.Tensor.Pure.dropPair_update_fstPhyslib/Relativity/Tensors/Contraction/Pure.lean
  • Fin.snd_ne_succSuccAbove_prePhyslib/Relativity/Tensors/Contraction/SuccSuccAbove.lean
  • Fin.succSuccAbove_comm_applyPhyslib/Relativity/Tensors/Contraction/SuccSuccAbove.lean
  • TensorSpecies.Tensor.fromDualMap_applyPhyslib/Relativity/Tensors/Dual.lean
  • TensorSpecies.Tensor.toDualMap_applyPhyslib/Relativity/Tensors/Dual.lean
  • TensorSpecies.Tensor.toDualMap_eq_permT_fromDualMapPhyslib/Relativity/Tensors/Dual.lean
  • TensorSpecies.contrT_metricTensor_metricTensorPhyslib/Relativity/Tensors/MetricTensor.lean
  • TensorSpecies.fromPairTContr_metric_metric_eq_permT_unitPhyslib/Relativity/Tensors/MetricTensor.lean
  • TensorSpecies.permT_fromPairTContr_metric_metricPhyslib/Relativity/Tensors/MetricTensor.lean
  • TensorSpecies.Tensor.TensorInt.basis_repr_applyPhyslib/Relativity/Tensors/OfInt.lean
  • realLorentzTensor.basisIdxCongr_eq_reflPhyslib/Relativity/Tensors/RealTensor/Basic.lean
  • realLorentzTensor.contrT_toFieldPhyslib/Relativity/Tensors/RealTensor/Basic.lean
  • Lorentz.coCoToMatrixRe_symm_expand_tmulPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • Lorentz.coCoToMatrixRe_ρPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • Lorentz.coContrToMatrixRe_symm_expand_tmulPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • Lorentz.coContrToMatrixRe_ρPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • Lorentz.contrCoToMatrixRe_symm_expand_tmulPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • Lorentz.contrCoToMatrixRe_ρPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • Lorentz.contrContrToMatrixRe_symm_expand_tmulPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • Lorentz.contrContrToMatrixRe_ρPhyslib/Relativity/Tensors/RealTensor/Matrix/Pre.lean
  • realLorentzTensor.actionT_coMetricPhyslib/Relativity/Tensors/RealTensor/Metrics/Basic.lean
  • realLorentzTensor.coMetric_eq_fromConstPairPhyslib/Relativity/Tensors/RealTensor/Metrics/Basic.lean
  • realLorentzTensor.contrMetric_eq_fromConstPairPhyslib/Relativity/Tensors/RealTensor/Metrics/Basic.lean
  • realLorentzTensor.contrT_toComplexPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • realLorentzTensor.toComplex_equivariantPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • Lorentz.contr_preCoContrUnitPhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.contr_preContrCoUnitPhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.preCoContrUnit_apply_onePhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.preCoContrUnit_symmPhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.preContrCoUnit_apply_onePhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.preContrCoUnit_symmPhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.Vector.apply_sumPhyslib/Relativity/Tensors/RealTensor/Vector/Basic.lean
  • Lorentz.Vector.spaceLike_iff_norm_sq_negPhyslib/Relativity/Tensors/RealTensor/Vector/Causality/Basic.lean
  • Lorentz.Vector.timeComponent_squared_pos_of_timelikePhyslib/Relativity/Tensors/RealTensor/Vector/Causality/TimeLike.lean
  • Lorentz.Vector.timelike_neg_time_component_productPhyslib/Relativity/Tensors/RealTensor/Vector/Causality/TimeLike.lean
  • Lorentz.Vector.timelike_time_dominates_spacePhyslib/Relativity/Tensors/RealTensor/Vector/Causality/TimeLike.lean
  • Lorentz.Vector.isLorentz_iffPhyslib/Relativity/Tensors/RealTensor/Vector/MinkowskiProduct.lean
  • Lorentz.Vector.isLorentz_iff_toMatrix_mem_lorentzGroupPhyslib/Relativity/Tensors/RealTensor/Vector/MinkowskiProduct.lean
  • Lorentz.Vector.minkowskiProductMap_add_sndPhyslib/Relativity/Tensors/RealTensor/Vector/MinkowskiProduct.lean
  • Lorentz.Vector.minkowskiProduct_symmPhyslib/Relativity/Tensors/RealTensor/Vector/MinkowskiProduct.lean
  • Lorentz.coBasis_repr_applyPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Basic.lean
  • Lorentz.coBasis_toFin1dℝPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Basic.lean
  • Lorentz.continuous_contrPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Basic.lean
  • Lorentz.contrBasis_repr_applyPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Basic.lean
  • Lorentz.contrBasis_toFin1dℝPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Basic.lean
  • Lorentz.coContrContract_hom_tmulPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.contrCoContract_hom_tmulPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.contrContrContractField.as_sum_toSpacePhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.contrContrContractField.le_inl_sqPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.contrContrContract_hom_tmulPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.CoMod.mulVec_toFin1dℝPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.CoMod.mulVec_valPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.CoMod.stdBasis_toFin1dℝEquiv_apply_nePhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.CoMod.stdBasis_toFin1dℝEquiv_apply_samePhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.mulVec_toFin1dℝPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.mulVec_valPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.rep_apply_toFin1dℝPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.stdBasis_toFin1dℝEquiv_apply_nePhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.stdBasis_toFin1dℝEquiv_apply_samePhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.toFin1dℝEquiv_isInducingPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.toSelfAdjoint_apply_coePhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.Vector.smul_eq_sumPhyslib/Relativity/Tensors/RealTensor/Vector/Tensorial.lean
  • Lorentz.Velocity.extPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • Lorentz.Velocity.mem_iffPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • Lorentz.Velocity.minkowskiProduct_continuous_fstPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • Lorentz.Velocity.norm_spatialPart_sq_eqPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • TensorSpecies.Tensor.IsReindexing.apply_inv_applyPhyslib/Relativity/Tensors/Reindexing.lean
  • TensorSpecies.Tensor.IsReindexing.inv_apply_applyPhyslib/Relativity/Tensors/Reindexing.lean
  • TensorSpecies.Tensor.IsReindexing.inv_perserve_colorPhyslib/Relativity/Tensors/Reindexing.lean
  • TensorSpecies.Tensor.IsReindexing.toEquiv_symm_perserve_colorPhyslib/Relativity/Tensors/Reindexing.lean
  • TensorSpecies.Tensorial.self_toTensor_applyPhyslib/Relativity/Tensors/Tensorial.lean
  • TensorSpecies.Tensorial.smul_eqPhyslib/Relativity/Tensors/Tensorial.lean
  • TensorSpecies.contrT_unitTensor_dual_singlePhyslib/Relativity/Tensors/UnitTensor.lean
  • TensorSpecies.dual_unitTensor_eq_permT_unitTensorPhyslib/Relativity/Tensors/UnitTensor.lean
  • TensorSpecies.unitTensor_eq_permT_dualPhyslib/Relativity/Tensors/UnitTensor.lean
  • TensorSpecies.unit_fromSingleTContrFromPairT_eq_fromSingleTPhyslib/Relativity/Tensors/UnitTensor.lean
  • Space.constantSliceDist_applyPhyslib/SpaceAndTime/Space/ConstantSliceDist.lean
  • Space.schwartzMap_fderiv_left_integrable_slice_symmPhyslib/SpaceAndTime/Space/ConstantSliceDist.lean
  • Space.schwartzMap_iteratedFDeriv_slice_symm_integrablePhyslib/SpaceAndTime/Space/ConstantSliceDist.lean
  • Space.schwartzMap_mul_iteratedFDeriv_integrable_slice_symmPhyslib/SpaceAndTime/Space/ConstantSliceDist.lean
  • Space.schwartzMap_mul_pow_slice_integral_iteratedFDeriv_norm_lePhyslib/SpaceAndTime/Space/ConstantSliceDist.lean
  • Space.sliceSchwartz_applyPhyslib/SpaceAndTime/Space/ConstantSliceDist.lean
  • Space.deriv_addPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_commutePhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_component_sqPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_eq_mfderiv_manifoldStructurePhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_inner_leftPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_inner_rightPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_lorentz_vectorPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_smulPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.deriv_subPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.fderiv_eq_sum_derivPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.schwartMap_fderiv_commPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.distDiv_apply_eq_sum_distDerivPhyslib/SpaceAndTime/Space/Derivatives/Div.lean
  • Space.div_constPhyslib/SpaceAndTime/Space/Derivatives/Div.lean
  • Space.div_eq_sum_fderivPhyslib/SpaceAndTime/Space/Derivatives/Div.lean
  • Space.div_zeroPhyslib/SpaceAndTime/Space/Derivatives/Div.lean
  • Space.grad_addPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.grad_applyPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.grad_constPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.grad_inner_singlePhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.grad_negPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.grad_smulPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.grad_zeroPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.inner_grad_eqPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.integrable_isDistBounded_inner_grad_schwartzMap_sphericalPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.laplacian_eq_sum_snd_derivPhyslib/SpaceAndTime/Space/Derivatives/Laplacian.lean
  • Space.matrixDiv_applyPhyslib/SpaceAndTime/Space/Derivatives/MatrixDiv.lean
  • Space.matrixDiv_constPhyslib/SpaceAndTime/Space/Derivatives/MatrixDiv.lean
  • Space.matrixDiv_zeroPhyslib/SpaceAndTime/Space/Derivatives/MatrixDiv.lean
  • Physlib.MultiIndex.tail_zeroPhyslib/SpaceAndTime/Space/Derivatives/MultiIndex.lean
  • EuclideanGroup.chartEuclidean_smulPhyslib/SpaceAndTime/Space/EuclideanGroup/Action.lean
  • EuclideanGroup.orthogonalToLinearIsometryEquiv_right_invPhyslib/SpaceAndTime/Space/EuclideanGroup/AffineGroup.lean
  • EuclideanGroup.RotationsAbout.fromOrigin_comp_toOriginPhyslib/SpaceAndTime/Space/EuclideanGroup/Basic.lean
  • EuclideanGroup.RotationsAbout.toOrigin_comp_fromOriginPhyslib/SpaceAndTime/Space/EuclideanGroup/Basic.lean
  • EuclideanGroup.specialOrthogonal.fromRotation_comp_toRotationPhyslib/SpaceAndTime/Space/EuclideanGroup/Basic.lean
  • EuclideanGroup.translationVector.incl_rangePhyslib/SpaceAndTime/Space/EuclideanGroup/Basic.lean
  • Space.integral_volume_eq_sphericalPhyslib/SpaceAndTime/Space/Integrals/Basic.lean
  • Space.volume_metricBall_twoPhyslib/SpaceAndTime/Space/Integrals/Basic.lean
  • Space.lintegral_radialMeasurePhyslib/SpaceAndTime/Space/Integrals/RadialAngularMeasure.lean
  • Space.radialAngularMeasure_eq_volume_withDensityPhyslib/SpaceAndTime/Space/Integrals/RadialAngularMeasure.lean
  • Space.IsDistBounded.component_smul_isDistBoundedPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.fun_addPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.integrable_spacePhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.integrable_space_mulPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.isDistBounded_smul_inner_of_smul_normPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.mul_inner_pow_neg_twoPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.nat_powPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.norm_smul_isDistBoundedPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.pow_shiftPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.zpow_smul_repr_selfPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • LengthUnit.div_selfPhyslib/SpaceAndTime/Space/LengthUnit.lean
  • LengthUnit.scale_scalePhyslib/SpaceAndTime/Space/LengthUnit.lean
  • LengthUnit.val_ne_zeroPhyslib/SpaceAndTime/Space/LengthUnit.lean
  • Space.add_vadd_zeroPhyslib/SpaceAndTime/Space/Module.lean
  • Space.apply_eq_basis_repr_applyPhyslib/SpaceAndTime/Space/Module.lean
  • Space.basis_repr_applyPhyslib/SpaceAndTime/Space/Module.lean
  • Space.coordCLM_applyPhyslib/SpaceAndTime/Space/Module.lean
  • Space.inner_eq_sumPhyslib/SpaceAndTime/Space/Module.lean
  • Space.norm_eqPhyslib/SpaceAndTime/Space/Module.lean
  • Space.oneEquiv_coePhyslib/SpaceAndTime/Space/Module.lean
  • Space.oneEquiv_symm_coePhyslib/SpaceAndTime/Space/Module.lean
  • Space.point_dim_zero_eqPhyslib/SpaceAndTime/Space/Module.lean
  • Space.smul_vadd_zeroPhyslib/SpaceAndTime/Space/Module.lean
  • Space.sub_applyPhyslib/SpaceAndTime/Space/Module.lean
  • Space.vadd_zero_sub_vadd_zeroPhyslib/SpaceAndTime/Space/Module.lean
  • Space.deriv_normPowerSeriesPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.distDiv_norm_zpow_smul_repr_self_eq_smulPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.distLaplacian_fundamentalSolution_norm_zpowPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.gradient_dist_normPowerSeries_logPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.gradient_dist_normPowerSeries_log_tendsTo_distGrad_normPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.gradient_dist_normPowerSeries_zpowPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.normPowerSeries_zpow_le_norm_sq_add_onePhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.radial_power_deriv_integral_by_partsPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.vectorToSpace_vsub_zeroPhyslib/SpaceAndTime/Space/Origin.lean
  • Space.zero_applyPhyslib/SpaceAndTime/Space/Origin.lean
  • Space.translateSchwartz_coe_eqPhyslib/SpaceAndTime/Space/Translations.lean
  • SpaceTime.coord_applyPhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.spaceTime_integral_eq_time_space_integralPhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.toTimeAndSpace_symm_measurePreservingPhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.deriv_commutePhyslib/SpaceAndTime/SpaceTime/Derivatives.lean
  • SpaceTime.deriv_eqPhyslib/SpaceAndTime/SpaceTime/Derivatives.lean
  • SpaceTime.distTimeSlice_distDeriv_inlPhyslib/SpaceAndTime/SpaceTime/TimeSlice.lean
  • SpaceTime.distTimeSlice_distDeriv_inrPhyslib/SpaceAndTime/SpaceTime/TimeSlice.lean
  • Time.eq_one_smulPhyslib/SpaceAndTime/Time/Basic.lean
  • Time.lt_defPhyslib/SpaceAndTime/Time/Basic.lean
  • Time.val_injectivePhyslib/SpaceAndTime/Time/Basic.lean
  • Time.volume_eq_basis_addHaarPhyslib/SpaceAndTime/Time/Basic.lean
  • Time.deriv_lorentzVectorPhyslib/SpaceAndTime/Time/Derivatives.lean
  • Time.deriv_negPhyslib/SpaceAndTime/Time/Derivatives.lean
  • Time.deriv_smulPhyslib/SpaceAndTime/Time/Derivatives.lean
  • TimeMan.val_contDiffPhyslib/SpaceAndTime/Time/TimeMan.lean
  • TimeTransMan.neg_eq_negMetricPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.toTime_symm_negPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.toTime_symm_valPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.toTime_symm_zero_addPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.toTime_zeroPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.val_contDiffPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.val_injectivePhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeUnit.div_selfPhyslib/SpaceAndTime/Time/TimeUnit.lean
  • TimeUnit.scale_scalePhyslib/SpaceAndTime/Time/TimeUnit.lean
  • TimeUnit.val_ne_zeroPhyslib/SpaceAndTime/Time/TimeUnit.lean
  • Space.distSpaceGrad_applyPhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • TimeAndSpace.dist_space_lePhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • TimeAndSpace.dist_time_lePhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • Space.constantTime_distSpaceDerivPhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • Space.constantTime_distSpaceDivPhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • Space.constantTime_distTimeDerivPhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • Space.integrable_fderiv_spacePhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • Space.time_integral_contDiffPhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • Space.time_integral_hasFDerivAtPhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • Space.time_integral_iteratedFDeriv_eqPhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • Space.time_integral_mul_pow_iteratedFDeriv_norm_lePhyslib/SpaceAndTime/TimeAndSpace/ConstantTimeDist.lean
  • CanonicalEnsemble.differentialEntropy_nonneg_of_prob_le_onePhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.integrable_energy_congrPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.mathematicalPartitionFunction_eq_zero_iffPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.meanEnergy_addPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.μBolt_ne_zero_of_μ_ne_zeroPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.entropy_nonnegPhyslib/StatisticalMechanics/CanonicalEnsemble/Finite.lean
  • CanonicalEnsemble.mathematicalPartitionFunction_of_fintypePhyslib/StatisticalMechanics/CanonicalEnsemble/Finite.lean
  • CanonicalEnsemble.μBolt_of_fintypePhyslib/StatisticalMechanics/CanonicalEnsemble/Finite.lean
  • CanonicalEnsemble.μProd_of_fintypePhyslib/StatisticalMechanics/CanonicalEnsemble/Finite.lean
  • CanonicalEnsemble.heatCapacity_eq_deriv_meanEnergyBetaPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.log_probabilityPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.thermodynamicEntropy_eq_differentialEntropy_sub_correctionPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.twoState_energy_fstPhyslib/StatisticalMechanics/CanonicalEnsemble/TwoState.lean
  • CanonicalEnsemble.twoState_energy_sndPhyslib/StatisticalMechanics/CanonicalEnsemble/TwoState.lean
  • IdealGas.ideal_gas_lawPhyslib/StatisticalMechanics/MicroCanonicalEnsemble/IdealGas.lean
  • IdealGas.partitionZ_eqPhyslib/StatisticalMechanics/MicroCanonicalEnsemble/IdealGas.lean
  • FTheory.SU5.FluxesFive.noExotics_iff_mem_elemsNoExoticsPhyslib/StringTheory/FTheory/SU5/Fluxes/NoExotics/Completeness.lean
  • FTheory.SU5.FluxesTen.noExotics_iff_mem_elemsNoExoticsPhyslib/StringTheory/FTheory/SU5/Fluxes/NoExotics/Completeness.lean
  • FTheory.SU5.FiveQuanta.mem_powerset_sum_of_mem_reduce_toFluxesFivePhyslib/StringTheory/FTheory/SU5/Quanta/FiveQuanta.lean
  • FTheory.SU5.FiveQuanta.mem_powerset_sum_of_mem_reduce_toFluxesFive_filterPhyslib/StringTheory/FTheory/SU5/Quanta/FiveQuanta.lean
  • FTheory.SU5.FiveQuanta.reduce_sum_eq_sum_toChargesPhyslib/StringTheory/FTheory/SU5/Quanta/FiveQuanta.lean
  • FTheory.SU5.TenQuanta.mem_liftCharge_iff_existsPhyslib/StringTheory/FTheory/SU5/Quanta/TenQuanta.lean
  • FTheory.SU5.TenQuanta.mem_liftCharge_of_exists_toCharges_toFluxesTenPhyslib/StringTheory/FTheory/SU5/Quanta/TenQuanta.lean
  • FTheory.SU5.TenQuanta.mem_powerset_sum_of_mem_reduce_toFluxesTenPhyslib/StringTheory/FTheory/SU5/Quanta/TenQuanta.lean
  • FTheory.SU5.TenQuanta.mem_powerset_sum_of_mem_reduce_toFluxesTen_filterPhyslib/StringTheory/FTheory/SU5/Quanta/TenQuanta.lean
  • FTheory.SU5.TenQuanta.reduce_filterPhyslib/StringTheory/FTheory/SU5/Quanta/TenQuanta.lean
  • FTheory.SU5.TenQuanta.reduce_sum_eq_sum_toChargesPhyslib/StringTheory/FTheory/SU5/Quanta/TenQuanta.lean
  • Temperature.beta_fun_T_eq_on_IoiPhyslib/Thermodynamics/Temperature/Basic.lean
  • Temperature.chain_rule_T_betaPhyslib/Thermodynamics/Temperature/Basic.lean
  • Temperature.ofβ_eqPhyslib/Thermodynamics/Temperature/Basic.lean
  • TemperatureUnit.div_selfPhyslib/Thermodynamics/Temperature/TemperatureUnits.lean
  • TemperatureUnit.scale_scalePhyslib/Thermodynamics/Temperature/TemperatureUnits.lean
  • TemperatureUnit.val_ne_zeroPhyslib/Thermodynamics/Temperature/TemperatureUnits.lean
  • UnitChoices.dimScale_of_inv_eq_swapPhyslib/Units/Basic.lean
  • hasDimension_iffPhyslib/Units/Basic.lean
  • fderiv_apply_scaleUnitPhyslib/Units/FDeriv.lean
  • integral_isDimensionallyCorrectPhyslib/Units/Integral.lean
  • isDimensionallyCorrect_fun_iffPhyslib/Units/UnitDependent.lean
  • isDimensionallyCorrect_fun_leftPhyslib/Units/UnitDependent.lean
  • isDimensionallyCorrect_fun_rightPhyslib/Units/UnitDependent.lean
  • scaleUnit_dimSet_valPhyslib/Units/UnitDependent.lean
  • DimArea.acre_eq_mul_squareFeetPhyslib/Units/WithDim/Area.lean
  • DimArea.acre_in_SIPhyslib/Units/WithDim/Area.lean
  • DimArea.squareFoot_in_SIPhyslib/Units/WithDim/Area.lean
  • DimArea.squareMile_in_SIPhyslib/Units/WithDim/Area.lean
  • WithDim.scaleUnit_val_eq_scaleUnit_valPhyslib/Units/WithDim/Basic.lean
  • WithDim.val_mul_eq_mulPhyslib/Units/WithDim/Basic.lean
  • WithDim.val_pow_two_eq_mulPhyslib/Units/WithDim/Basic.lean
  • DimSpeed.oneKilometerPerHour_eq_mul_oneKnotPhyslib/Units/WithDim/Speed.lean
  • DimSpeed.oneKilometerPerHour_in_SIPhyslib/Units/WithDim/Speed.lean
  • DimSpeed.oneKnot_eq_mul_oneKilometerPerHourPhyslib/Units/WithDim/Speed.lean
  • DimSpeed.oneKnot_in_SIPhyslib/Units/WithDim/Speed.lean
  • DimSpeed.oneMeterPerSecond_eq_mul_oneMilePerHourPhyslib/Units/WithDim/Speed.lean
  • DimSpeed.oneMilePerHour_in_SIPhyslib/Units/WithDim/Speed.lean
  • CPTPMap.not_achievesRate_gt_log_dim_outQuantumInfo/Capacity/Capacity.lean
  • CPTPMap.extQuantumInfo/Channels/Bundled.lean
  • CPUMap.extQuantumInfo/Channels/Bundled.lean
  • CPUMap.injective_toPMapQuantumInfo/Channels/Bundled.lean
  • PMap.extQuantumInfo/Channels/Bundled.lean
  • PTPMap.extQuantumInfo/Channels/Bundled.lean
  • PTPMap.val_apply_MStateQuantumInfo/Channels/Bundled.lean
  • PUMap.extQuantumInfo/Channels/Bundled.lean
  • PUMap.injective_toPMapQuantumInfo/Channels/Bundled.lean
  • CPTPMap.choi_extQuantumInfo/Channels/CPTP.lean
  • CPTPMap.choi_of_CPTP_of_choiQuantumInfo/Channels/CPTP.lean
  • CPTPMap.exists_unitary_extending_isometryQuantumInfo/Channels/CPTP.lean
  • CPTPMap.id_MStateQuantumInfo/Channels/CPTP.lean
  • CPTPMap.id_mapQuantumInfo/Channels/CPTP.lean
  • CPTPMap.ofEquiv_applyQuantumInfo/Channels/CPTP.lean
  • CPTPMap.prod_apply_prodQuantumInfo/Channels/CPTP.lean
  • CPTPMap.traceLeft_eq_MState_traceLeftQuantumInfo/Channels/CPTP.lean
  • CPTPMap.traceRight_eq_MState_traceRightQuantumInfo/Channels/CPTP.lean
  • CPTPMap.dual_posQuantumInfo/Channels/Dual.lean
  • HPMap.hermDual_UnitalQuantumInfo/Channels/Dual.lean
  • MatrixMap.IsCompletelyPositive.dualQuantumInfo/Channels/Dual.lean
  • MatrixMap.IsPositive.dualQuantumInfo/Channels/Dual.lean
  • MatrixMap.dual_choi_matrix_posSemidef_of_posSemidefQuantumInfo/Channels/Dual.lean
  • MatrixMap.dual_uniqueQuantumInfo/Channels/Dual.lean
  • PTPMap.hermDual_posQuantumInfo/Channels/Dual.lean
  • MatrixMap.exists_krausQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.id_kron_submatrixQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.kron_defQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.kron_map_of_kron_stateQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.submatrix_compQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.submatrix_idQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.submatrix_kron_idQuantumInfo/Channels/MatrixMap.lean
  • ker_le_ker_pinching_map_kerQuantumInfo/Channels/Pinching.lean
  • ker_le_ker_pinching_of_PosDefQuantumInfo/Channels/Pinching.lean
  • pinchingMap_apply_MQuantumInfo/Channels/Pinching.lean
  • pinching_boundQuantumInfo/Channels/Pinching.lean
  • pinching_map_ker_leQuantumInfo/Channels/Pinching.lean
  • pinching_selfQuantumInfo/Channels/Pinching.lean
  • MatrixMap.IsCompletelyPositive.addQuantumInfo/Channels/Unbundled.lean
  • MatrixMap.IsCompletelyPositive.of_FintypeQuantumInfo/Channels/Unbundled.lean
  • MatrixMap.IsCompletelyPositive.smulQuantumInfo/Channels/Unbundled.lean
  • MatrixMap.IsTracePreserving.idQuantumInfo/Channels/Unbundled.lean
  • MatrixMap.Unital.idQuantumInfo/Channels/Unbundled.lean
  • MatrixMap.choi_PSD_iff_CP_mapQuantumInfo/Channels/Unbundled.lean
  • MatrixMap.of_kraus_CPQuantumInfo/Channels/Unbundled.lean
  • MatrixMap.of_kraus_isPositiveQuantumInfo/Channels/Unbundled.lean
  • ProbDistribution.coin_val_oneQuantumInfo/ClassicalInfo/Distribution.lean
  • ProbDistribution.coin_val_zeroQuantumInfo/ClassicalInfo/Distribution.lean
  • ProbDistribution.congr_applyQuantumInfo/ClassicalInfo/Distribution.lean
  • ProbDistribution.congr_symm_applyQuantumInfo/ClassicalInfo/Distribution.lean
  • ProbDistribution.constant_defQuantumInfo/ClassicalInfo/Distribution.lean
  • ProbDistribution.constant_eqQuantumInfo/ClassicalInfo/Distribution.lean
  • Prob.coe_subQuantumInfo/ClassicalInfo/Prob.lean
  • Prob.toReal_mulQuantumInfo/ClassicalInfo/Prob.lean
  • Prob.top_eq_oneQuantumInfo/ClassicalInfo/Prob.lean
  • MState.conjTensorUnitary_MQuantumInfo/Entropy/DPI.lean
  • f_alpha_at_optimizerQuantumInfo/Entropy/DPI.lean
  • iSup_f_alpha_jointly_convexQuantumInfo/Entropy/DPI.lean
  • ker_conj_le_of_ker_leQuantumInfo/Entropy/DPI.lean
  • sandwichedRenyiEntropy_SWAPQuantumInfo/Entropy/DPI.lean
  • sandwichedRenyiEntropy_conj_unitaryQuantumInfo/Entropy/DPI.lean
  • sandwichedTraceFunctional_mono_traceRightQuantumInfo/Entropy/DPI.lean
  • sandwichedTraceFunctional_selfQuantumInfo/Entropy/DPI.lean
  • supportProj_mul_of_ker_leQuantumInfo/Entropy/DPI.lean
  • traceFunctional_eq_iSup_f_alphaQuantumInfo/Entropy/DPI.lean
  • twirling_identityQuantumInfo/Entropy/DPI.lean
  • B_of_continuousAtQuantumInfo/Entropy/Relative.lean
  • HermitianMat.inner_log_mono_of_posDef_of_leQuantumInfo/Entropy/Relative.lean
  • HermitianMat.mul_supportProj_of_ker_leQuantumInfo/Entropy/Relative.lean
  • HermitianMat.rpow_neg_mul_rpow_eq_supportProjQuantumInfo/Entropy/Relative.lean
  • HermitianMat.supportProj_mul_selfQuantumInfo/Entropy/Relative.lean
  • eigenWeight_eq_zero_iffQuantumInfo/Entropy/Relative.lean
  • hasDerivAt_trace_rpow_at_oneQuantumInfo/Entropy/Relative.lean
  • inner_cfc_eq_sum_eigenWeightQuantumInfo/Entropy/Relative.lean
  • ker_le_iff_eigenWeight_zeroQuantumInfo/Entropy/Relative.lean
  • ker_le_of_ker_kron_le_leftQuantumInfo/Entropy/Relative.lean
  • qMutualInfo_as_qRelativeEntQuantumInfo/Entropy/Relative.lean
  • qRelEntropy_heq_congrQuantumInfo/Entropy/Relative.lean
  • qRelEntropy_le_add_of_le_smulQuantumInfo/Entropy/Relative.lean
  • qRelEntropy_of_uniqueQuantumInfo/Entropy/Relative.lean
  • sandwichedRelRentropy.continuousOn_Ioi_1QuantumInfo/Entropy/Relative.lean
  • sandwichedRelRentropy.continuousOn_Ioo_0_1QuantumInfo/Entropy/Relative.lean
  • sandwichedRelRentropy_additive_alpha_oneQuantumInfo/Entropy/Relative.lean
  • trace_cfc_tendsto_of_tendstoQuantumInfo/Entropy/Relative.lean
  • trace_conj_eq_inner_rpowQuantumInfo/Entropy/Relative.lean
  • HermitianMat.PosDef_kroneckerQuantumInfo/Entropy/SSA.lean
  • Matrix.opNorm_conjTranspose_eq_opNormQuantumInfo/Entropy/SSA.lean
  • PosDef_traceLeftQuantumInfo/Entropy/SSA.lean
  • V_rho_isometryQuantumInfo/Entropy/SSA.lean
  • inner_one_kron_eq_inner_traceLeftQuantumInfo/Entropy/SSA.lean
  • operator_ineq_SSAQuantumInfo/Entropy/SSA.lean
  • Sᵥₙ_eq_of_nonzero_eigenvalues_eqQuantumInfo/Entropy/VonNeumann.lean
  • Sᵥₙ_of_SWAP_eqQuantumInfo/Entropy/VonNeumann.lean
  • continuousOn_complexLaplaceTransform_interior_convergenceDomainQuantumInfo/ForMathlib/ComplexLaplaceTransform.lean
  • measurable_complexLaplaceIntegrandQuantumInfo/ForMathlib/ComplexLaplaceTransform.lean
  • ContinuousLinearMap.ker_mkQuantumInfo/ForMathlib/ContinuousLinearMap.lean
  • LinearMap.BilinForm.continuous_iSup_fstQuantumInfo/ForMathlib/ContinuousSup.lean
  • GeneralizedPerspectiveFunction.hInvSqrt_selfAdjointQuantumInfo/ForMathlib/HayataGroup/TraceInequality/GeneralizedPerspectiveFunction.lean
  • GeneralizedPerspectiveFunction.hSqrt_selfAdjointQuantumInfo/ForMathlib/HayataGroup/TraceInequality/GeneralizedPerspectiveFunction.lean
  • GeneralizedPerspectiveFunction.theorem_2_5_forward_jointlyConvexOn_psd_pd_of_condVQuantumInfo/ForMathlib/HayataGroup/TraceInequality/GeneralizedPerspectiveFunction.lean
  • HilbertSchmidtOperatorSpace.cfc_op_eq_op_cfcQuantumInfo/ForMathlib/HayataGroup/TraceInequality/HilbertSchmidtOperatorSpace.lean
  • HilbertSchmidtOperatorSpace.leftMulHS_cfcRQuantumInfo/ForMathlib/HayataGroup/TraceInequality/HilbertSchmidtOperatorSpace.lean
  • HilbertSchmidtOperatorSpace.op_isSelfAdjointQuantumInfo/ForMathlib/HayataGroup/TraceInequality/HilbertSchmidtOperatorSpace.lean
  • HilbertSchmidtOperatorSpace.rightMulHS_cfcRQuantumInfo/ForMathlib/HayataGroup/TraceInequality/HilbertSchmidtOperatorSpace.lean
  • JensenOperatorInequality.spectrum_Ici_of_nonneg_wrapQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequality.lean
  • JensenOperatorInequality.theorem_2_5_2_i_all_imp_vQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequality.lean
  • JensenOperatorInequality.theorem_2_5_2_i_ici_all_imp_vQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequality.lean
  • JensenOperatorInequality.complex_I_smul_real_I_smul_invTwoQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.real_smul_complex_I_real_smul_complex_I_commQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.spectrum_Ici_of_nonnegQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • LiebAndoTrace.andoTrace_jointlyConvexOn_pdSetQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.hmiddle_leftMul_rightMulQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.liebExtensionTrace_jointlyConcaveOn_pdSetQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.liebTraceMap_antitone_rightQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.liebTraceMap_mono_rightQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.liebTrace_jointlyConcaveOn_pdSetQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.liebTrace_jointlyConvexOn_pdSetQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.pdSet_rpow_of_mem_Icc_zero_oneQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LiebAndoTrace.phiK_operatorPowerMean_eq_liebTraceMapQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LiebAndoTrace.lean
  • LownerHeinzCore.concaveOn_rpow_IooQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.convexOn_rpow_Ioo_one_twoQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.one_div_add_t_operatorAntitoneOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.one_div_add_t_operatorConvexOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.one_div_operatorAntitoneOn_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.one_div_operatorConvexOn_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.posSemidef_block_one_invQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.power_Icc_neg_one_zero_neg_operatorConcaveOn_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.power_Icc_neg_one_zero_neg_operatorMonotoneOn_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.ratio_add_t_operatorConcaveOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.ratio_add_t_operatorMonotoneOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzTheorem.one_div_add_t_operatorAntitoneOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.one_div_add_t_operatorConvexOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.power_Icc_neg_one_zero_neg_operatorConcaveOn_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.power_Icc_neg_one_zero_neg_operatorMonotoneOn_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.power_Icc_one_two_operatorConvexOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.power_Icc_zero_one_operatorConcaveOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.power_Icc_zero_one_operatorMonotoneOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.ratio_add_t_operatorConcaveOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • LownerHeinzTheorem.ratio_add_t_operatorMonotoneOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • OperatorGeometricMean.operatorPowerMean_jointlyConcaveOn_pdSetQuantumInfo/ForMathlib/HayataGroup/TraceInequality/OperatorGeometricMean.lean
  • OperatorGeometricMean.operatorPowerMean_jointlyConvexOn_pdSetQuantumInfo/ForMathlib/HayataGroup/TraceInequality/OperatorGeometricMean.lean
  • OperatorGeometricMean.rpow_continuousOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/OperatorGeometricMean.lean
  • OperatorGeometricMean.rpow_pos_on_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/OperatorGeometricMean.lean
  • HermitianMat._root_.Matrix.range_mul_conjTranspose_of_ker_le_kerQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.conjLinear_applyQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.conj_applyQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.conj_apply_matQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.diagonal_matQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.eq_IsHermitianQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.kronecker_matQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_addQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_applyQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_invQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_mkQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_negQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_oneQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_powQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_smulQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_subQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_zeroQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mat_zpowQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mk_matQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mk_oneQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.mk_zeroQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.one_applyQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.smul_applyQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.spectrum_rcLikeQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.val_eq_coeQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.zero_applyQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.zpow_natCastQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.Matrix.PosDef.spectrum_subset_IoiQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat._root_.Commute.cfc_leftQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.cfc_commuteQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.cfc_eqQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.conjTranspose_cfcQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.continuousOn_finiteQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.continuousWithinAt_cfc_of_continuousOnQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.dist_lt_of_continuous_spectrumQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.inv_ge_one_of_le_oneQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.isSelfAdjointQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.ker_cfc_le_kerQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.ker_cfc_le_ker_on_setQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.ker_le_ker_cfcQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.ker_le_ker_cfc_on_setQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.mat_cfcQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.mat_cfc_mul_applyQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.norm_cfc_sub_cfc_le_sqrt_cardQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.spectrum_cfc_eq_imageQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.inner_defQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_eq_re_traceQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_eq_trace_trivialQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_mono'QuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermMul.mul_eq_symmMulQuantumInfo/ForMathlib/HermitianMat/Jordan.lean
  • HermitianMat.symmMul_toMatQuantumInfo/ForMathlib/HermitianMat/Jordan.lean
  • HermitianMat.liebExtension_bridgeQuantumInfo/ForMathlib/HermitianMat/LiebConcavity.lean
  • HermitianMat.liebExtension_bridge_psdQuantumInfo/ForMathlib/HermitianMat/LiebConcavity.lean
  • HermitianMat.tendsto_add_epsQuantumInfo/ForMathlib/HermitianMat/LiebConcavity.lean
  • HermitianMat.trace_conj_rpow_concave_pdQuantumInfo/ForMathlib/HermitianMat/LiebConcavity.lean
  • HermitianMat.variational_eq_optimizerQuantumInfo/ForMathlib/HermitianMat/LiebConcavity.lean
  • HermitianMatBridge.Φ_cfcQuantumInfo/ForMathlib/HermitianMat/LiebConcavity.lean
  • HermitianMat.exp_nonnegQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.inv_convexQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.logApprox_eq_log_add_errorQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.log_kron_diagonalQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.nonSingular_iff_invQuantumInfo/ForMathlib/HermitianMat/NonSingular.lean
  • HermitianMat.eigenvalues_le_imp_le_smul_oneQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.ker_le_of_le_smulQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.le_iffQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.mat_posDef_to_posQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.posSemidef_iff_spectrum_nonnegQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.posSemidef_to_nonnegQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.trace_function_convex_iciQuantumInfo/ForMathlib/HermitianMat/Peierls.lean
  • HermitianMat.trace_function_convex_univQuantumInfo/ForMathlib/HermitianMat/Peierls.lean
  • HermitianMat.negPart_eq_cfc_minQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.posPart_eq_cfc_maxQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.projLE_defQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.projLE_inner_leQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.projLE_mul_leQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.projLT_defQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.proj_lt_mul_ltQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.mat_reindexQuantumInfo/ForMathlib/HermitianMat/Reindex.lean
  • HermitianMat.reindex_reflQuantumInfo/ForMathlib/HermitianMat/Reindex.lean
  • HermitianMat.isUnit_rpow_toMatQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpowApprox_eq_cfc_scalarQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpow_diagonalQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpow_inv_eq_neg_rpowQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpow_le_rpow_of_leQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpow_le_rpow_of_posDefQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpow_nonnegQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.sandwich_le_oneQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.sandwich_selfQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.tendsto_intervalIntegral_weighted_trace_mul_inv_shiftQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.trace_rpow_eq_sumQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • schattenNorm_hermitian_powQuantumInfo/ForMathlib/HermitianMat/Schatten.lean
  • schattenNorm_pow_eqQuantumInfo/ForMathlib/HermitianMat/Schatten.lean
  • HermitianMat.sqrt_inv_mul_self_mul_sqrt_inv_eq_oneQuantumInfo/ForMathlib/HermitianMat/Sqrt.lean
  • HermitianMat.traceLeft_matQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.traceRight_matQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_eq_one_iffQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_eq_re_traceQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_eq_trace_trivialQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_eq_zero_iffQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • Matrix.neg_unitary_valQuantumInfo/ForMathlib/HermitianMat/Unitary.lean
  • Matrix.unitary_kron_applyQuantumInfo/ForMathlib/HermitianMat/Unitary.lean
  • IsMaximalSelfAdjoint.RCLike_selfadjMapQuantumInfo/ForMathlib/IsMaximalSelfAdjoint.lean
  • IsMaximalSelfAdjoint.trivial_selfadjMapQuantumInfo/ForMathlib/IsMaximalSelfAdjoint.lean
  • exists_liminf_zero_of_forall_liminf_limsup_le_with_UBQuantumInfo/ForMathlib/LimSupInf.lean
  • tendsto_of_block_sequenceQuantumInfo/ForMathlib/LimSupInf.lean
  • LinearEquiv.euclidean_of_relabel_reflQuantumInfo/ForMathlib/LinearEquiv.lean
  • LinearEquiv.of_relabel_reflQuantumInfo/ForMathlib/LinearEquiv.lean
  • antitone_mul_of_antitone_nonnegQuantumInfo/ForMathlib/Majorization.lean
  • cauchyBinetQuantumInfo/ForMathlib/Majorization.lean
  • prod_singularValuesSorted_eq_compoundSVQuantumInfo/ForMathlib/Majorization.lean
  • rpow_antitone_of_nonneg_antitoneQuantumInfo/ForMathlib/Majorization.lean
  • singularValuesSorted_nonnegQuantumInfo/ForMathlib/Majorization.lean
  • weak_log_maj_sum_leQuantumInfo/ForMathlib/Majorization.lean
  • Matrix.IsHermitian.cfc_eigenvaluesQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.PosSemidef.le_smul_one_of_eigenvalues_iffQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.PosSemidef.pow_addQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.PosSemidef.pow_mulQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.PosSemidef.smul_one_le_of_eigenvalues_iffQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.traceRight_eq_traceLeft_reindexQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.abs_trace_le_traceNormQuantumInfo/ForMathlib/MatrixNorm/TraceNorm.lean
  • Matrix.exists_svd_sqrt_eigenvaluesQuantumInfo/ForMathlib/MatrixNorm/TraceNorm.lean
  • Matrix.singularValues_le_opNormQuantumInfo/ForMathlib/MatrixNorm/TraceNorm.lean
  • Matrix.traceNorm_mul_le_opNorm_traceNormQuantumInfo/ForMathlib/MatrixNorm/TraceNorm.lean
  • Matrix.traceNorm_negQuantumInfo/ForMathlib/MatrixNorm/TraceNorm.lean
  • Matrix.traceNorm_sandwich_leQuantumInfo/ForMathlib/MatrixNorm/TraceNorm.lean
  • exists_equiv_of_multiset_map_eqQuantumInfo/ForMathlib/Misc.lean
  • LeftOrdContinuous.comp_lowerSemicontinuousOn_strong_assumptionsQuantumInfo/ForMathlib/SionMinimax.lean
  • LowerSemicontinuousOn.bddBelowQuantumInfo/ForMathlib/SionMinimax.lean
  • segment.isConnectedQuantumInfo/ForMathlib/SionMinimax.lean
  • sion_exists_min_2QuantumInfo/ForMathlib/SionMinimax.lean
  • AddEquiv.ulift_applyQuantumInfo/ForMathlib/ULift.lean
  • ULift.starRingEnd_downQuantumInfo/ForMathlib/ULift.lean
  • ULift.star_eqQuantumInfo/ForMathlib/ULift.lean
  • POVM.measurementMap_apply_matrixQuantumInfo/Measurements/POVM.lean
  • ResourcePretheory.PosDef.prodQuantumInfo/ResourceTheory/FreeState.lean
  • ResourcePretheory.prodRelabel_assocQuantumInfo/ResourceTheory/FreeState.lean
  • UnitalPretheory.spacePow_succQuantumInfo/ResourceTheory/FreeState.lean
  • UnitalPretheory.spacePow_zeroQuantumInfo/ResourceTheory/FreeState.lean
  • UnitalPretheory.statePow_succQuantumInfo/ResourceTheory/FreeState.lean
  • OptimalHypothesisRate.Lemma3QuantumInfo/ResourceTheory/HypothesisTesting.lean
  • OptimalHypothesisRate.of_emptyQuantumInfo/ResourceTheory/HypothesisTesting.lean
  • SteinsLemma.GeneralizedQSteinsLemmaQuantumInfo/ResourceTheory/SteinsLemma.lean
  • SteinsLemma.f_image_boundQuantumInfo/ResourceTheory/SteinsLemma.lean
  • SteinsLemma.f_le_logQuantumInfo/ResourceTheory/SteinsLemma.lean
  • SteinsLemma.log_le_fQuantumInfo/ResourceTheory/SteinsLemma.lean
  • Ensemble.distr_toMEnsembleQuantumInfo/States/Ensemble.lean
  • Ensemble.mix_pEnsemble_pure_iff_pureQuantumInfo/States/Ensemble.lean
  • Sᵥₙ_eq_trace_cfcQuantumInfo/States/Entanglement.lean
  • convex_roof_ne_topQuantumInfo/States/Entanglement.lean
  • convex_roof_of_pureQuantumInfo/States/Entanglement.lean
  • le_convex_roofQuantumInfo/States/Entanglement.lean
  • le_mixed_convex_roofQuantumInfo/States/Entanglement.lean
  • mixed_convex_roof_of_pureQuantumInfo/States/Entanglement.lean
  • traceRight_pure_MESQuantumInfo/States/Entanglement.lean
  • MState.M_InjectiveQuantumInfo/States/Mixed/MState.lean
  • MState.M_defaultQuantumInfo/States/Mixed/MState.lean
  • MState.PhaseEquiv_iff_pure_eqQuantumInfo/States/Mixed/MState.lean
  • MState.assoc'_assocQuantumInfo/States/Mixed/MState.lean
  • MState.assoc_assoc'QuantumInfo/States/Mixed/MState.lean
  • MState.coe_ofClassicalQuantumInfo/States/Mixed/MState.lean
  • MState.dist_eqQuantumInfo/States/Mixed/MState.lean
  • MState.eigenvalue_nonnegQuantumInfo/States/Mixed/MState.lean
  • MState.eq_of_sum_eq_pureQuantumInfo/States/Mixed/MState.lean
  • MState.exp_val_eq_zero_iffQuantumInfo/States/Mixed/MState.lean
  • MState.inner_defQuantumInfo/States/Mixed/MState.lean
  • MState.kron_relabelQuantumInfo/States/Mixed/MState.lean
  • MState.mat_MQuantumInfo/States/Mixed/MState.lean
  • MState.posDef_of_uniqueQuantumInfo/States/Mixed/MState.lean
  • MState.pure_applyQuantumInfo/States/Mixed/MState.lean
  • MState.pure_eq_pure_iffQuantumInfo/States/Mixed/MState.lean
  • MState.pure_iff_rank_eq_oneQuantumInfo/States/Mixed/MState.lean
  • MState.pure_of_constant_spectrumQuantumInfo/States/Mixed/MState.lean
  • MState.pure_separable_imp_IsProdQuantumInfo/States/Mixed/MState.lean
  • MState.relabel_kronQuantumInfo/States/Mixed/MState.lean
  • MState.relabel_mQuantumInfo/States/Mixed/MState.lean
  • MState.relabel_relabelQuantumInfo/States/Mixed/MState.lean
  • MState.spectralDecompositionQuantumInfo/States/Mixed/MState.lean
  • MState.val_innerQuantumInfo/States/Mixed/MState.lean
  • Bra.normalizedQuantumInfo/States/Pure/Braket.lean
  • Braket.dot_eq_dotProductQuantumInfo/States/Pure/Braket.lean
  • Ket.normalizedQuantumInfo/States/Pure/Braket.lean
  • Qubit.controllize_apply_one_oneQuantumInfo/States/Pure/Qubit.lean
  • Qubit.controllize_apply_one_zeroQuantumInfo/States/Pure/Qubit.lean
  • Qubit.controllize_apply_zero_oneQuantumInfo/States/Pure/Qubit.lean
  • Qubit.controllize_apply_zero_zeroQuantumInfo/States/Pure/Qubit.lean
✅ Embedded proofs golfed (type unchanged) (1)
  • TensorSpecies.contrT_metricTensor_metricTensor_eq_dual_unitPhyslib/Relativity/Tensors/MetricTensor.lean
✅ Definition proofs golfed (data unchanged) (69)
  • Physlib.Fin.involutionNoFixedSetOnePhyslib/Mathematics/Fin/Involutions.lean
  • PseudoRiemannianMetric.RiemannianMetric.tangentInnerCorePhyslib/Mathematics/Geometry/Metric/Riemannian/Defs.lean
  • TriLinearSymm.toLinear₁Physlib/Mathematics/LinearMaps.lean
  • LinearMap.SchurTriangulationAux.ofPhyslib/Mathematics/SchurTriangulation.lean
  • Matrix.schurTriangulationAuxPhyslib/Mathematics/SchurTriangulation.lean
  • SMRHN.chargesMapOfSpeciesMapPhyslib/Particles/BeyondTheStandardModel/RHN/AnomalyCancellation/FamilyMaps.lean
  • SMRHN.speciesEmbedPhyslib/Particles/BeyondTheStandardModel/RHN/AnomalyCancellation/FamilyMaps.lean
  • SM.chargesMapOfSpeciesMapPhyslib/Particles/StandardModel/AnomalyCancellation/FamilyMaps.lean
  • SM.speciesEmbedPhyslib/Particles/StandardModel/AnomalyCancellation/FamilyMaps.lean
  • ACCSystemGroupAction.linSolRepPhyslib/QFT/AnomalyCancellation/GroupActions.lean
  • ACCSystemGroupAction.quadSolActionPhyslib/QFT/AnomalyCancellation/GroupActions.lean
  • ACCSystemGroupAction.solActionPhyslib/QFT/AnomalyCancellation/GroupActions.lean
  • FieldSpecification.FieldOpFreeAlgebra.fieldOpFreeAlgebraGradePhyslib/QFT/PerturbationTheory/FieldOpFreeAlgebra/Grading.lean
  • FieldSpecification.WickAlgebra.WickAlgebraGradePhyslib/QFT/PerturbationTheory/WickAlgebra/Grading.lean
  • FieldSpecification.WickAlgebra.bosonicProjPhyslib/QFT/PerturbationTheory/WickAlgebra/Grading.lean
  • FieldSpecification.WickAlgebra.fermionicProjPhyslib/QFT/PerturbationTheory/WickAlgebra/Grading.lean
  • FieldSpecification.WickAlgebra.normalOrderPhyslib/QFT/PerturbationTheory/WickAlgebra/NormalOrder/Basic.lean
  • FieldSpecification.WickAlgebra.superCommuteRightPhyslib/QFT/PerturbationTheory/WickAlgebra/SuperCommute.lean
  • FieldSpecification.WickAlgebra.timeOrderPhyslib/QFT/PerturbationTheory/WickAlgebra/TimeOrder.lean
  • FieldSpecification.WickAlgebra.universalLiftPhyslib/QFT/PerturbationTheory/WickAlgebra/Universality.lean
  • WickContraction.joinPhyslib/QFT/PerturbationTheory/WickContraction/Join.lean
  • WickContraction.hasEqTimeEquivPhyslib/QFT/PerturbationTheory/WickContraction/TimeCond.lean
  • PureU1.BasisLinear.asLinSolsPhyslib/QFT/QED/AnomalyCancellation/BasisLinear.lean
  • QuantumMechanics.SpaceDHilbertSpace.PolyBddSchwartzMapPhyslib/QuantumMechanics/DDimensions/SpaceDHilbertSpace/PolyBddSchwartzSubmodule.lean
  • LorentzGroup.toComplexPhyslib/Relativity/LorentzGroup/Basic.lean
  • LorentzGroup.ofSpecialOrthogonalPhyslib/Relativity/LorentzGroup/Rotations.lean
  • PauliMatrix.asConsTensorPhyslib/Relativity/PauliMatrices/AsTensor.lean
  • TensorSpecies.Tensor.Pure.componentMapPhyslib/Relativity/Tensors/Basic.lean
  • TensorSpecies.Tensor.actionTPhyslib/Relativity/Tensors/Basic.lean
  • Lorentz.coMetricPhyslib/Relativity/Tensors/ComplexTensor/Metrics/Pre.lean
  • Lorentz.contrMetricPhyslib/Relativity/Tensors/ComplexTensor/Metrics/Pre.lean
  • Lorentz.coContrUnitPhyslib/Relativity/Tensors/ComplexTensor/Units/Pre.lean
  • Lorentz.contrCoUnitPhyslib/Relativity/Tensors/ComplexTensor/Units/Pre.lean
  • Lorentz.contrCoContrBiPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Contraction.lean
  • Lorentz.contrContrCoBiPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Contraction.lean
  • Lorentz.CoℂModule.lorentzGroupRepPhyslib/Relativity/Tensors/ComplexTensor/Vector/Pre/Modules.lean
  • Fermion.dualLeftHandedRepPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Basic.lean
  • Fermion.leftHandedDualToPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Basic.lean
  • Fermion.leftHandedToDualPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Basic.lean
  • Fermion.dualLeftBiPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Contraction.lean
  • Fermion.dualRightBiPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Contraction.lean
  • Fermion.leftDualBiPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Contraction.lean
  • Fermion.rightDualBiPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Contraction.lean
  • Fermion.dualLeftMetricPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.dualRightMetricPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.leftMetricPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.rightMetricPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Metric.lean
  • Fermion.dualLeftLeftUnitPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.dualRightRightUnitPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.leftDualLeftUnitPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • Fermion.rightDualRightUnitPhyslib/Relativity/Tensors/ComplexTensor/Weyl/Unit.lean
  • TensorSpecies.Tensor.ComponentIdx.singlePhyslib/Relativity/Tensors/ComponentIdx/Single.lean
  • Lorentz.CoVector.isNormedSpacePhyslib/Relativity/Tensors/RealTensor/CoVector/Basic.lean
  • realLorentzTensor.toComplexPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • realLorentzTensor.toComplexVectorPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • Lorentz.preCoContrUnitPhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.preContrCoUnitPhyslib/Relativity/Tensors/RealTensor/Units/Pre.lean
  • Lorentz.Vector.isNormedSpacePhyslib/Relativity/Tensors/RealTensor/Vector/Basic.lean
  • Lorentz.coContrContractPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.coModContrModBiPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.contrCoContractPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.contrModCoModBiPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • TensorSpecies.Tensorial.mulActionPhyslib/Relativity/Tensors/Tensorial.lean
  • TensorSpecies.Tensorial.toTensorCLMPhyslib/Relativity/Tensors/Tensorial.lean
  • Space.translateSchwartzPhyslib/SpaceAndTime/Space/Translations.lean
  • SpaceTime.schwartzActionPhyslib/SpaceAndTime/SpaceTime/LorentzAction.lean
  • TimeAndSpace.schwartzEuclideanActionPhyslib/SpaceAndTime/TimeAndSpace/EuclideanGroup/SchwartzAction.lean
  • ProbDistribution.mk'QuantumInfo/ClassicalInfo/Distribution.lean
  • MState.piProdQuantumInfo/States/Mixed/MState.lean
↩️ Only a newline removed (tokens unchanged) (518)
  • ClassicalMechanics.DampedHarmonicOscillator.equationOfMotion_iff_newtons_2nd_lawPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.k_eq_m_mul_decayRate_sq_of_criticallyDampedPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.DampedHarmonicOscillator.toUndamped_equationOfMotionPhyslib/ClassicalMechanics/DampedHarmonicOscillator/Basic.lean
  • ClassicalMechanics.eulerLagrangeOp_zeroPhyslib/ClassicalMechanics/EulerLagrange.lean
  • ClassicalMechanics.HarmonicOscillator.gradient_const_mul_inner_selfPhyslib/ClassicalMechanics/HarmonicOscillator/Basic.lean
  • ClassicalMechanics.HarmonicOscillator.toCanonicalMomentumPhyslib/ClassicalMechanics/HarmonicOscillator/Basic.lean
  • ClassicalMechanics.HarmonicOscillator.InitialConditions.trajectory_eq_zero_iff_exists_intPhyslib/ClassicalMechanics/HarmonicOscillator/Solution.lean
  • ClassicalMechanics.HarmonicOscillator.InitialConditions.trajectory_velocity_eq_zero_iff_exists_intPhyslib/ClassicalMechanics/HarmonicOscillator/Solution.lean
  • ClassicalMechanics.HarmonicOscillator.InitialConditions.trajectory_zeroPhyslib/ClassicalMechanics/HarmonicOscillator/Solution.lean
  • ClassicalMechanics.Lagrangian.isTotalTimeDerivativeVelocityPhyslib/ClassicalMechanics/Lagrangian/TotalDerivativeEquivalence.lean
  • MassUnit.scale_div_selfPhyslib/ClassicalMechanics/Mass/MassUnit.lean
  • MassUnit.scale_onePhyslib/ClassicalMechanics/Mass/MassUnit.lean
  • ChargeUnit.scale_div_selfPhyslib/Electromagnetism/Charge/ChargeUnit.lean
  • ChargeUnit.scale_onePhyslib/Electromagnetism/Charge/ChargeUnit.lean
  • Electromagnetism.DistLorentzCurrentDensity.chargeDensityPhyslib/Electromagnetism/Distributional/Dynamics/CurrentDensity.lean
  • Electromagnetism.DistElectromagneticPotential.gradFreeCurrentPotentialPhyslib/Electromagnetism/Distributional/Dynamics/Lagrangian.lean
  • Electromagnetism.FreeSpace.c_absPhyslib/Electromagnetism/Dynamics/Basic.lean
  • Electromagnetism.ElectromagneticPotential.kineticTerm_add_time_mul_constPhyslib/Electromagnetism/Dynamics/KineticTerm.lean
  • Electromagnetism.ElectromagneticPotential.fieldStrengthMatrix_inr_inr_eq_magneticFieldMatrixPhyslib/Electromagnetism/Kinematics/MagneticField.lean
  • Electromagnetism.ElectromagneticPotential.ofElectromagneticField_scalarPotentialPhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.ElectromagneticPotential.ofStaticVectorPotential_scalarPotentialPhyslib/Electromagnetism/Kinematics/ScalarPotential.lean
  • Electromagnetism.DistElectromagneticPotential.oneDimPointParticle_magneticFieldMatrixPhyslib/Electromagnetism/PointParticle/OneDimension.lean
  • Electromagnetism.ElectromagneticPotential.harmonicWaveX_inl_zeroPhyslib/Electromagnetism/Vacuum/HarmonicWave.lean
  • Electromagnetism.ElectromagneticPotential.harmonicWaveX_polarization_ellipsePhyslib/Electromagnetism/Vacuum/HarmonicWave.lean
  • FluidDynamics.NavierStokes.matrixDiv_momentumFluxPhyslib/FluidDynamics/NavierStokes/Momentum.lean
  • HasAdjFDerivAt.compPhyslib/Mathematics/Calculus/AdjFDeriv.lean
  • hasAdjFDerivAt_constPhyslib/Mathematics/Calculus/AdjFDeriv.lean
  • hasAdjFDerivAt_idPhyslib/Mathematics/Calculus/AdjFDeriv.lean
  • Physlib.Wirtinger.dWirtingerDir_congr_of_eventuallyEqPhyslib/Mathematics/Calculus/Wirtinger/Basic.lean
  • Physlib.Wirtinger.dWirtingerDir_constPhyslib/Mathematics/Calculus/Wirtinger/Basic.lean
  • Physlib.Wirtinger.realLinear_apply_eq_wirtingerPhyslib/Mathematics/Calculus/Wirtinger/Basic.lean
  • Matrix.det_exp_unitary_conjPhyslib/Mathematics/DataStructures/Matrix/LieTrace.lean
  • Matrix.tsum_eq_zeroPhyslib/Mathematics/DataStructures/Matrix/LieTrace.lean
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  • Lorentz.CoVector.smul_negPhyslib/Relativity/Tensors/RealTensor/CoVector/Tensorial.lean
  • Lorentz.CoVector.smul_zeroPhyslib/Relativity/Tensors/RealTensor/CoVector/Tensorial.lean
  • realLorentzTensor.colorToComplex_match_downPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • realLorentzTensor.colorToComplex_match_upPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • realLorentzTensor.toComplexVector_down_eq_inclCoRealLorentzPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • realLorentzTensor.toComplexVector_up_eq_inclCongrRealLorentzPhyslib/Relativity/Tensors/RealTensor/ToComplex.lean
  • Lorentz.Vector.ofSpatialComponentPhyslib/Relativity/Tensors/RealTensor/Vector/Basic.lean
  • Lorentz.Vector.causalCharacter_zeroPhyslib/Relativity/Tensors/RealTensor/Vector/Causality/LightLike.lean
  • Lorentz.contrContrContractField.dual_mulVec_leftPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Contraction.lean
  • Lorentz.ContrMod.mulVec_addPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.mulVec_mulVecPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.mulVec_subPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.repPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.ContrMod.sub_mulVecPhyslib/Relativity/Tensors/RealTensor/Vector/Pre/Modules.lean
  • Lorentz.Vector.smul_negPhyslib/Relativity/Tensors/RealTensor/Vector/Tensorial.lean
  • Lorentz.Vector.smul_zeroPhyslib/Relativity/Tensors/RealTensor/Vector/Tensorial.lean
  • Lorentz.Velocity.minkowskiProduct_continuous_sndPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • Lorentz.Velocity.one_add_minkowskiProduct_ne_zeroPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • Lorentz.Velocity.pathFromZeroPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • Lorentz.Velocity.timeComponent_absPhyslib/Relativity/Tensors/RealTensor/Velocity/Basic.lean
  • TensorSpecies.Tensor.IsReindexing.on_idPhyslib/Relativity/Tensors/Reindexing.lean
  • TensorSpecies.unitTensor_invariantPhyslib/Relativity/Tensors/UnitTensor.lean
  • Space.distDerivPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.distDeriv_applyPhyslib/SpaceAndTime/Space/Derivatives/Basic.lean
  • Space.gradient_eq_sumPhyslib/SpaceAndTime/Space/Derivatives/Grad.lean
  • Space.iteratedDeriv_contDiffPhyslib/SpaceAndTime/Space/Derivatives/Iterated.lean
  • Space.iteratedDeriv_zeroPhyslib/SpaceAndTime/Space/Derivatives/Iterated.lean
  • Space.tsupport_deriv_subsetPhyslib/SpaceAndTime/Space/Derivatives/Iterated.lean
  • Space.distLaplacian_constPhyslib/SpaceAndTime/Space/Derivatives/Laplacian.lean
  • Physlib.MultiIndex.increment_apply_nePhyslib/SpaceAndTime/Space/Derivatives/MultiIndex.lean
  • Physlib.MultiIndex.increment_apply_samePhyslib/SpaceAndTime/Space/Derivatives/MultiIndex.lean
  • Physlib.MultiIndex.order_incrementPhyslib/SpaceAndTime/Space/Derivatives/MultiIndex.lean
  • Physlib.MultiIndex.order_zeroPhyslib/SpaceAndTime/Space/Derivatives/MultiIndex.lean
  • Physlib.MultiIndex.toList_singlePhyslib/SpaceAndTime/Space/Derivatives/MultiIndex.lean
  • EuclideanGroup.translation_zeroPhyslib/SpaceAndTime/Space/EuclideanGroup/Basic.lean
  • Space.lintegral_volume_eq_sphericalPhyslib/SpaceAndTime/Space/Integrals/Basic.lean
  • Space.radial_jacobian_zpowPhyslib/SpaceAndTime/Space/Integrals/NormPow.lean
  • Space.radial_jacobian_zpow_mul_selfPhyslib/SpaceAndTime/Space/Integrals/NormPow.lean
  • Space.radialAngularMeasure_zero_eq_volumePhyslib/SpaceAndTime/Space/Integrals/RadialAngularMeasure.lean
  • Space.IsDistBounded.aeStronglyMeasurable_fderiv_schwartzMap_smulPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • Space.IsDistBounded.aeStronglyMeasurable_schwartzMap_smulPhyslib/SpaceAndTime/Space/IsDistBounded.lean
  • LengthUnit.scale_div_selfPhyslib/SpaceAndTime/Space/LengthUnit.lean
  • LengthUnit.scale_onePhyslib/SpaceAndTime/Space/LengthUnit.lean
  • Space.add_applyPhyslib/SpaceAndTime/Space/Module.lean
  • Space.basis_innerPhyslib/SpaceAndTime/Space/Module.lean
  • Space.basis_selfPhyslib/SpaceAndTime/Space/Module.lean
  • Space.coord_applyPhyslib/SpaceAndTime/Space/Module.lean
  • Space.inner_basisPhyslib/SpaceAndTime/Space/Module.lean
  • Space.norm_vadd_zeroPhyslib/SpaceAndTime/Space/Module.lean
  • Space.deriv_normPowerSeries_zpowPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.distDiv_norm_zpow_smul_repr_self_apply_eq_radial_derivPhyslib/SpaceAndTime/Space/Norm/Basic.lean
  • Space.vectorToSpace_applyPhyslib/SpaceAndTime/Space/Origin.lean
  • Space.fderiv_slice_symmPhyslib/SpaceAndTime/Space/Slice.lean
  • Space.slice_symm_apply_selfPhyslib/SpaceAndTime/Space/Slice.lean
  • Space.slice_symm_apply_succAbovePhyslib/SpaceAndTime/Space/Slice.lean
  • Space.distTranslatePhyslib/SpaceAndTime/Space/Translations.lean
  • SpaceTime.spacePhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.timeSpaceBasisEquivPhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.time_val_toCoord_symmPhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.toTimeAndSpacePhyslib/SpaceAndTime/SpaceTime/Basic.lean
  • SpaceTime.schwartzAction_mul_applyPhyslib/SpaceAndTime/SpaceTime/LorentzAction.lean
  • Time.eq_one_iffPhyslib/SpaceAndTime/Time/Basic.lean
  • Time.eq_zero_iffPhyslib/SpaceAndTime/Time/Basic.lean
  • Time.deriv_eq_manifoldDerivPhyslib/SpaceAndTime/Time/Derivatives.lean
  • Time.manifoldDeriv_constPhyslib/SpaceAndTime/Time/Derivatives.lean
  • TimeMan.val_isOpenEmbeddingPhyslib/SpaceAndTime/Time/TimeMan.lean
  • TimeTransMan.addTime_valPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.diff_selfPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeTransMan.val_isOpenEmbeddingPhyslib/SpaceAndTime/Time/TimeTransMan.lean
  • TimeUnit.scale_div_selfPhyslib/SpaceAndTime/Time/TimeUnit.lean
  • TimeUnit.scale_onePhyslib/SpaceAndTime/Time/TimeUnit.lean
  • Space.apply_fderiv_eq_distSpaceDerivPhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • Space.apply_fderiv_eq_distTimeDerivPhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • Space.distSpaceDeriv_applyPhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • Space.distSpaceDeriv_apply'Physlib/SpaceAndTime/TimeAndSpace/Basic.lean
  • Space.distTimeDeriv_applyPhyslib/SpaceAndTime/TimeAndSpace/Basic.lean
  • Space.distTimeDeriv_apply'Physlib/SpaceAndTime/TimeAndSpace/Basic.lean
  • TimeAndSpace.space_smulPhyslib/SpaceAndTime/TimeAndSpace/EuclideanGroup/Action.lean
  • TimeAndSpace.time_smulPhyslib/SpaceAndTime/TimeAndSpace/EuclideanGroup/Action.lean
  • Constants.kB_ne_zeroPhyslib/StatisticalMechanics/BoltzmannConstant.lean
  • CanonicalEnsemble.helmholtzFreeEnergy_addPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.helmholtzFreeEnergy_congrPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.helmholtzFreeEnergy_nsmulPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.log_partitionFunctionPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.mathematicalPartitionFunction_posPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.partitionFunction_congrPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.partitionFunction_dof_zeroPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.partitionFunction_phase_space_unit_onePhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.physicalProbability_congrPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.physicalProbability_dof_zeroPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.physicalProbability_phase_space_unit_onePhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.probability_congrPhyslib/StatisticalMechanics/CanonicalEnsemble/Basic.lean
  • CanonicalEnsemble.deriv_mathematicalPartitionFunctionBetaRealPhyslib/StatisticalMechanics/CanonicalEnsemble/Finite.lean
  • CanonicalEnsemble.deriv_meanEnergyNumeratorPhyslib/StatisticalMechanics/CanonicalEnsemble/Finite.lean
  • CanonicalEnsemble.meanEnergy_Beta_eq_finitePhyslib/StatisticalMechanics/CanonicalEnsemble/Finite.lean
  • CanonicalEnsemble.differentialEntropy_eq_meanEnergy_sub_helmholtz_div_temp_add_correctionPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.energyVariance_eq_meanSquareEnergy_sub_meanEnergy_sqPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.helmholtzFreeEnergy_eq_helmholtzMathematicalFreeEnergy_add_correctionPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.helmholtzFreeEnergy_eq_meanEnergy_sub_temp_mul_thermodynamicEntropyPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.integral_bolt_eq_integral_mul_expPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.log_phys_eq_log_math_sub_const_on_IoiPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.meanEnergy_eq_neg_deriv_log_mathZ_of_betaPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • CanonicalEnsemble.meanEnergy_eq_ratio_of_integralsPhyslib/StatisticalMechanics/CanonicalEnsemble/Lemmas.lean
  • FTheory.SU5.FiveQuanta.decompose_addPhyslib/StringTheory/FTheory/SU5/Quanta/FiveQuanta.lean
  • FTheory.SU5.TenQuanta.decompose_addPhyslib/StringTheory/FTheory/SU5/Quanta/TenQuanta.lean
  • TemperatureUnit.scale_div_selfPhyslib/Thermodynamics/Temperature/TemperatureUnits.lean
  • TemperatureUnit.scale_onePhyslib/Thermodynamics/Temperature/TemperatureUnits.lean
  • CarriesDimension.toDimensionfulPhyslib/Units/Basic.lean
  • UnitChoices.dimScalePhyslib/Units/Basic.lean
  • UnitChoices.dimScale_mul_symmPhyslib/Units/Basic.lean
  • UnitChoices.dimScale_ne_zeroPhyslib/Units/Basic.lean
  • UnitChoices.dimScale_onePhyslib/Units/Basic.lean
  • UnitChoices.dimScale_selfPhyslib/Units/Basic.lean
  • UnitDependent.scaleUnit_symm_applyPhyslib/Units/UnitDependent.lean
  • CPTPMap.IsUnitary_iff_U_conjQuantumInfo/Channels/CPTP.lean
  • CPTPMap.prep_append_map_entryQuantumInfo/Channels/CPTP.lean
  • HPMap.hermDual_hermDualQuantumInfo/Channels/Dual.lean
  • MatrixMap.add_kronQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.kron_addQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.kron_comp_distribQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.kron_id_idQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.kron_smulQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.kron_zeroQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.piProd_compQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.smul_kronQuantumInfo/Channels/MatrixMap.lean
  • MatrixMap.zero_kronQuantumInfo/Channels/MatrixMap.lean
  • ProbDistribution.expect_val_eq_mixable_mixQuantumInfo/ClassicalInfo/Distribution.lean
  • Hₛ_coinQuantumInfo/ClassicalInfo/Entropy.lean
  • Hₛ_constant_eq_zeroQuantumInfo/ClassicalInfo/Entropy.lean
  • Hₛ_uniformQuantumInfo/ClassicalInfo/Entropy.lean
  • Prob.add_one_minusQuantumInfo/ClassicalInfo/Prob.lean
  • Prob.coe_one_minusQuantumInfo/ClassicalInfo/Prob.lean
  • Prob.negLog_eq_top_iffQuantumInfo/ClassicalInfo/Prob.lean
  • Prob.negLog_oneQuantumInfo/ClassicalInfo/Prob.lean
  • Prob.negLog_pos_ENNRealQuantumInfo/ClassicalInfo/Prob.lean
  • Prob.negLog_zeroQuantumInfo/ClassicalInfo/Prob.lean
  • sandwichedRenyiEntropy_tensor_pureQuantumInfo/Entropy/DPI.lean
  • HermitianMat.inner_supportProj_of_ker_leQuantumInfo/Entropy/Relative.lean
  • cross_term_at_oneQuantumInfo/Entropy/Relative.lean
  • frontier_singletonQuantumInfo/Entropy/Relative.lean
  • posDef_add_epsQuantumInfo/Entropy/Relative.lean
  • qRelEntropy_selfQuantumInfo/Entropy/Relative.lean
  • qRelativeEnt_op_leQuantumInfo/Entropy/Relative.lean
  • qRelativeEnt_relabelQuantumInfo/Entropy/Relative.lean
  • sandwichedRelRentropy.trace_at_oneQuantumInfo/Entropy/Relative.lean
  • sandwichedRelRentropy_additive_alpha_ne_oneQuantumInfo/Entropy/Relative.lean
  • trace_rpow_sub_trace_at_oneQuantumInfo/Entropy/Relative.lean
  • PERM_isometryQuantumInfo/Entropy/SSA.lean
  • Sᵥₙ_relabelQuantumInfo/Entropy/VonNeumann.lean
  • qMutualInfo_symmQuantumInfo/Entropy/VonNeumann.lean
  • ENNReal.tendsto_toReal_iff_of_eventually_ne_topQuantumInfo/ForMathlib/Filter.lean
  • JensenOperatorInequality.blockDiagonal_nonnegQuantumInfo/ForMathlib/HayataGroup/TraceInequality/BlockDiagonal.lean
  • JensenOperatorInequality.hsumProj_blockDiagonal_oneQuantumInfo/ForMathlib/HayataGroup/TraceInequality/BlockDiagonal.lean
  • JensenOperatorInequality.hsumProj_blockDiagonal_zeroQuantumInfo/ForMathlib/HayataGroup/TraceInequality/BlockDiagonal.lean
  • JensenOperatorInequality.hsumProj_blockOp_oneQuantumInfo/ForMathlib/HayataGroup/TraceInequality/BlockDiagonal.lean
  • JensenOperatorInequality.hsumProj_blockOp_zeroQuantumInfo/ForMathlib/HayataGroup/TraceInequality/BlockDiagonal.lean
  • GeneralizedPerspectiveFunction.conj_le_conjQuantumInfo/ForMathlib/HayataGroup/TraceInequality/GeneralizedPerspectiveFunction.lean
  • GeneralizedPerspectiveFunction.spectrum_convexCombo_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/GeneralizedPerspectiveFunction.lean
  • JensenOperatorInequality.cfcR_blockDiagonal_wrapQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequality.lean
  • JensenOperatorInequality.nontrivial_hsumL_wrapQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequality.lean
  • JensenOperatorInequality.spectrum_zero_subset_Ici_wrapQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequality.lean
  • JensenOperatorInequality.theorem_2_5_2_iv_imp_vQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequality.lean
  • JensenOperatorInequality.blockSwap_norm_le_oneQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.blockSwap_starQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.cfcR_blockDiagonalQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.half_add_half_eqQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.half_mul_real_add_half_mul_real_eqQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.rightEval_bottomRight_scalarQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.rightEval_topLeft_scalarQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.spectrum_zero_subset_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.theorem_2_5_2_i_all_imp_ivQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequality.theorem_2_5_2_i_ici_all_imp_ivQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIImpIV.lean
  • JensenOperatorInequalityScratch.cfcR_blockDiagonalQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIVtoV.lean
  • JensenOperatorInequalityScratch.nontrivial_hsumLQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIVtoV.lean
  • JensenOperatorInequalityScratch.theorem_2_5_2_iv_imp_vQuantumInfo/ForMathlib/HayataGroup/TraceInequality/JensenOperatorInequalityIVtoV.lean
  • LownerHeinzCore.cfcR_mul_selfQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.cfcₙ_rpowIntegrand₀₁_eq_smul_cfcR_ratioQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.concaveOn_nnrpow_IooQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.conjugate_isPositiveQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.convexOn_nnrpow_Ioo_one_addQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.operatorConvexOn_pow_two_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.power_Icc_one_two_operatorConvexOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.power_Icc_zero_one_operatorConcaveOn_IciQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.schur_conj_eq_diagonalQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.smul_sub_mul_subQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.spectrum_convexCombo_IoiQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.square_convexity_diff_hCCQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.square_convexity_diff_hCC_sumQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.square_convexity_diff_rhsQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzCore.sub_mul_subQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzCore.lean
  • LownerHeinzTheorem.operatorConvex_convexOn_univQuantumInfo/ForMathlib/HayataGroup/TraceInequality/LownerHeinzTheorem.lean
  • HermitianMat.conj_oneQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.conj_zeroQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.ker_oneQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.ker_zeroQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.lin_oneQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.lin_zeroQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.support_zeroQuantumInfo/ForMathlib/HermitianMat/Basic.lean
  • HermitianMat.cfc_idQuantumInfo/ForMathlib/HermitianMat/CFC.lean
  • HermitianMat.inner_commQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_neg_leftQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_neg_rightQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_oneQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_zero_leftQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.inner_zero_rightQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.one_innerQuantumInfo/ForMathlib/HermitianMat/Inner.lean
  • HermitianMat.symmMul_selfQuantumInfo/ForMathlib/HermitianMat/Jordan.lean
  • HermitianMat.symmMul_zeroQuantumInfo/ForMathlib/HermitianMat/Jordan.lean
  • HermitianMat.zero_symmMulQuantumInfo/ForMathlib/HermitianMat/Jordan.lean
  • HermitianMatBridge.traceRe_Φ_generalQuantumInfo/ForMathlib/HermitianMat/LiebConcavity.lean
  • HermitianMat._root_.Commute.exp_left'QuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat._root_.Commute.exp_right'QuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat._root_.Commute.log_leftQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat._root_.Commute.log_rightQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.inner_log_smul_ofQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.log_oneQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.log_smulQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.log_zeroQuantumInfo/ForMathlib/HermitianMat/LogExp.lean
  • HermitianMat.nonSingular_conj_isometryQuantumInfo/ForMathlib/HermitianMat/NonSingular.lean
  • HermitianMat.nonSingular_det_ne_zeroQuantumInfo/ForMathlib/HermitianMat/NonSingular.lean
  • HermitianMat.nonSingular_invQuantumInfo/ForMathlib/HermitianMat/NonSingular.lean
  • HermitianMat.nonSingular_ker_botQuantumInfo/ForMathlib/HermitianMat/NonSingular.lean
  • HermitianMat.nonSingular_negQuantumInfo/ForMathlib/HermitianMat/NonSingular.lean
  • HermitianMat.nonSingular_support_topQuantumInfo/ForMathlib/HermitianMat/NonSingular.lean
  • HermitianMat.kronecker_self_monoQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.zero_le_iffQuantumInfo/ForMathlib/HermitianMat/Order.lean
  • HermitianMat.one_sub_projLTQuantumInfo/ForMathlib/HermitianMat/Proj.lean
  • HermitianMat.compound_top_singular_le_posDefQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.conj_rpow_le_one_of_conj_le_one_posDefQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.intervalIntegrable_weighted_trace_mul_inv_shiftQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpow_oneQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.rpow_zeroQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.top_singular_le_of_self_mul_le_smul_oneQuantumInfo/ForMathlib/HermitianMat/Rpow.lean
  • HermitianMat.sqrt_sqQuantumInfo/ForMathlib/HermitianMat/Sqrt.lean
  • HermitianMat.traceLeft_traceQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.traceRight_traceQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_addQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_negQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_reindexQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_subQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • HermitianMat.trace_zeroQuantumInfo/ForMathlib/HermitianMat/Trace.lean
  • LinearMap.IsSymmetric.directSum_isInternal_of_commute'QuantumInfo/ForMathlib/Isometry.lean
  • Matrix.traceLeft_subQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.trace_submatrixQuantumInfo/ForMathlib/Matrix.lean
  • Matrix.traceNorm_zeroQuantumInfo/ForMathlib/MatrixNorm/TraceNorm.lean
  • lowerSemicontinuousOn_iff_isClosed_preimageQuantumInfo/ForMathlib/SionMinimax.lean
  • LinearMap.unitary_apply_star_eqQuantumInfo/ForMathlib/Unitary.lean
  • LinearMap.unitary_star_apply_eqQuantumInfo/ForMathlib/Unitary.lean
  • POVM.measureDiscard_applyQuantumInfo/Measurements/POVM.lean
  • MState.U_conj_spectrum_eqQuantumInfo/Operators/Unitary.lean
  • ResourcePretheory.qRelEntropy_prodRelabelQuantumInfo/ResourceTheory/FreeState.lean
  • ResourcePretheory.sandwichedRelRentropy_prodRelabelQuantumInfo/ResourceTheory/FreeState.lean
  • UnitalPretheory.spacePow_oneQuantumInfo/ResourceTheory/FreeState.lean
  • OptimalHypothesisRate.exists_minQuantumInfo/ResourceTheory/HypothesisTesting.lean
  • OptimalHypothesisRate.of_singletonQuantumInfo/ResourceTheory/HypothesisTesting.lean
  • Ensemble.average_of_pure_ensembleQuantumInfo/States/Ensemble.lean
  • MState.exp_val_addQuantumInfo/States/Mixed/MState.lean
  • MState.exp_val_oneQuantumInfo/States/Mixed/MState.lean
  • MState.exp_val_smulQuantumInfo/States/Mixed/MState.lean
  • MState.exp_val_subQuantumInfo/States/Mixed/MState.lean
  • MState.exp_val_zeroQuantumInfo/States/Mixed/MState.lean
  • MState.traceLeft_left_assocQuantumInfo/States/Mixed/MState.lean
  • MState.traceRight_right_assoc'QuantumInfo/States/Mixed/MState.lean
  • Ket.MESQuantumInfo/States/Pure/Braket.lean
  • Qubit.S_T_commQuantumInfo/States/Pure/Qubit.lean
  • Qubit.S_Z_commQuantumInfo/States/Pure/Qubit.lean
  • Qubit.T_Z_commQuantumInfo/States/Pure/Qubit.lean
  • Qubit.controllize_mul_invQuantumInfo/States/Pure/Qubit.lean

Generated by scripts/check_golf.py · triggered by /check-golf. Statements are compared textually: comments and whitespace are ignored, and by proof terms embedded in a type are treated as proofs (proof-irrelevant). Anonymous instances and examples are not tracked (no stable name). For a def/instance/abbrev we mask its by proof blocks: if only those changed it is a “definition proofs golfed” (the data is unchanged); if something outside them changed — or the whole body is one by block — it is a “definition body changed” (the data may have changed; textually we cannot always tell). ; counts exclude the <;> combinator.

The automated golf over-shortened many proofs, breaking compilation.
Each fix is surgical: restore only the broken proof/step from master
while preserving all other golf in the file.

Key root-cause fix: several @[simp] coercion lemmas
(HermitianMat.val_eq_coe, mat_smul, mat_cfc, MState.mat_M) were golfed
from `:= by rfl` to `:= rfl`, which makes them eligible for `dsimp`
definitional rewriting. That caused `dsimp` calls in downstream proofs
(Pinching, SteinsLemma) to over-normalize goals — unfolding
`↑(c • A)`, `↑A`, `↑(A.cfc f)` — so subsequent `rw`s no longer matched,
and produced dsimp recursion-depth loops. Reverting those specific
lemmas to `by rfl` restores the intended non-dsimp semantics.

All CI steps pass locally: lake build -KCI (Physlib + QuantumInfo),
check_file_imports, check_dup_tags, sorry_lint, runPhyslibLinters,
PhyslibAlpha build + runPhyslibAlphaLinters, lint-style.sh, codespell.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3
@jstoobysmith

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@Vilin97 What was the command you ran locally to get this golf report (struggling to find the right base and head)

@jstoobysmith

jstoobysmith commented Jul 3, 2026

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One thing which would also slow this review down is the 110 changes to the definition body. But I'm also worried about the increase in heartbeats on some of the files (but it is nice that this scripts picks this up!)

@jstoobysmith jstoobysmith self-assigned this Jul 3, 2026
@Vilin97

Vilin97 commented Jul 3, 2026

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PRs #1355 and #1356 add the /check-golf command that produces this report.

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@Vilin97 Sure, but when you ran it locally, what arguments did you use for --head and --base?

Vilin97 added a commit to Vilin97/physlib that referenced this pull request Jul 3, 2026
A `def`/`instance`/`abbrev` often carries proof obligations discharged by
`by` blocks. Golfing only those does not change the definition's data, so it
should not read as "the definition changed". The report now masks a
definition's `by` proof blocks and splits its changes into:
- "definition proofs golfed" (data unchanged), and
- "definition values changed" (the defining term changed outside proofs).

On PR leanprover-community#1332 this moves 76 of the 110 former "definition body" changes into
the proof-only bucket, leaving 34 genuine value changes.

Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Vjiv6nckrp5cJT9rpgZaKT
@Vilin97

Vilin97 commented Jul 3, 2026

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Also, re: the definitions that got changed -- they got changed because the proofs inside of them got golfed. E.g. in RatComplexNum.equivToProd the left_inv/right_inv proof fields went from tactic blocks to term mode:

left_inv := by intro x; cases x; rfl   →   left_inv := fun ⟨_, _⟩ => rfl

This can affect things like rfl and defeq despite the def's type not changing.

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2 participants