refactor: golf proofs (stacked on #1332)

[Vilin97]

Golfs proofs across Physlib, QuantumInfo, and PhyslibAlpha: streamlining arguments, using stronger mathlib lemmas and tactics, removing redundant steps, and increasing code reuse. No statements or definitions are changed — only proofs.

Stacked on #1332 (codex/golf-proofs-next): until #1332 merges, this PR's diff includes its commits. Review only the commits after 4e3d67f0.

Stats

• Proofs golfed: 651 across 49 files
• Net line change (proof bodies only): −3,287 (5,203 deletions, 1,916 insertions)
• Verification: every touched file recompiled with -Dwarn.sorry=false -Dweak.says.verify=true; full lake build green; declaration-signature audit (type hash of every lemma/theorem, type+value hash of every def) mechanically confirms zero statement/definition changes.

Process disclosure (per AI-POLICY.md)

• Models: golfing subagents ran on Claude Fable 5 (claude-fable-5) and Claude Opus 4.8 (claude-opus-4-8, after a mid-run switch). One max-reasoning subagent per file, each self-verifying via a per-file lake env lean compile with the CI flags.
• Wall-clock time: 31h35m wall-clock (spanning session-limit resets)
• Token usage (approximate, output tokens across all agents): ~10M subagent output tokens so far

Prompt used

Golf AS MUCH AS POSSIBLE in Physlib. Stack your PR on top of #1332.
Do not change statements, and do not cram tactics on one line. Genuinely make proofs
shorter and simpler by streamlining arguments, increasing mathlib usage, reduce code duplication, increase code reuse, use more powerful tactics, etc. Do not change any statements and definitions - only work on proofs!
Keep RAM usage under 40GB. Be thorough, go project by project carefully. If spawning agents, use max reasoning, and tell them to be very
thorough. DO NOT ASK ME ANYTHING AND DO NOT GIVE UP, KEEP FINDING NEW WAYS TO COMPRESS.
Open a draft PR once you golfed 50 proofs, and then every 10, update the PR. Put
this prompt in the PR description and also model name and how long and how many tokens this golfing process took.

🤖 Generated with Claude Code

https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

[github-actions]

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