refactor: golf proofs (stacked on #1332) by Vilin97 · Pull Request #1364 · leanprover-community/physlib

Vilin97 · 2026-07-04T06:59:35Z

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

Rebased directly onto master (previously stacked on the now-closed #1332; all of that PR's golfs have been dropped — this PR's diff is exclusively its own work).

Stats

Proofs golfed: ~1,343 across 120 files
Net line change (proof bodies only): −5,954 (9,369 deletions, 3,415 insertions)
Verification: every touched file recompiled with -Dwarn.sorry=false -Dweak.says.verify=true; full lake build green on the rebased tree; every diff hunk lies strictly inside a proof body (statements/definitions byte-identical).

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). One max-reasoning subagent per file, each self-verifying via a per-file lake env lean compile with the CI flags.
Wall-clock time: ~39h wall-clock (spanning session-limit resets)
Token usage (approximate, output tokens across all agents): ~19M subagent output tokens

Prompt used

Golf AS MUCH AS POSSIBLE in Physlib. Update PR #1364.
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 · 2026-07-04T07:00:02Z

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.

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Golf proof bodies in Space/Norm/Basic and Space/IsDistBounded: term-mode collapses, Tendsto composition in place of manual rpow juggling, and anonymous-constructor witnesses. Statements unchanged. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

Golf proof bodies in WickContraction/InsertAndContractNat and Sign/InsertSome: reuse erase_insert and getDualErase lemmas, replace manual Fin.succAbove case bashes with omega fed the relevant order couplings. Statements unchanged. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

Golf proof bodies in Electromagnetism/Dynamics/KineticTerm and QuantumMechanics SpectralTheory/Basic. Statements unchanged. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

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

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

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

…y, speed-unit proofs Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

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

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

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

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

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

…l, rigid-body proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

…al-ensemble proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

…e, EM potential proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

…st, tensor-constructor proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

Move the remaining Mistral golf from leanprover-community#1364 to leanprover-community#1373: simplify isTotalTimeDerivative_neg, totalTimeDerivative_contDiff, and totalTimeDerivative_hasVarGradientAt_equivalence. Generated by Mistral Vibe. Co-Authored-By: Mistral Vibe <vibe@mistral.ai> Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>

Replace non-terminal broad simp calls with Lean-generated simp only sets and split the long DimSevenPlane simp line reported by the Python style linter. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>

Vilin97 mentioned this pull request Jul 4, 2026

refactor: golf proofs (stacked on #1332) Vilin97/physlib#1

Closed

Vilin97 and others added 23 commits July 6, 2026 21:03

refactor: golf Mathematics list and variational-calculus proofs

fa7b4ea

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

refactor: golf QFT super-commute, Wick, and anomaly-cancellation proofs

bfc279b

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

refactor: golf SU5 quanta and BSM potential proofs

8dd1106

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

refactor: golf Weyl tensor, curl, spacetime-distance, oscillator proofs

6dacb6e

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

refactor: golf unbounded-operator proofs

91ee7c9

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

refactor: golf Wick algebra and contraction proofs

f42d4f5

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

refactor: golf anomaly-cancellation cubic-line and plane proofs

aa04b15

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

refactor: golf CKM, Higgs potential, SU5 charges, Lorentz-algebra proofs

a4018b9

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

refactor: golf EM boosts, Wirtinger, microcanonical thermodynamics pr…

1a4b30e

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

refactor: golf twin-paradox, complex-tensor, free-particle proofs

56a61a7

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

refactor: golf RHN anomaly, MSSM permutations, neutrino, SU5 viabilit…

60f4f3c

…y, speed-unit proofs Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

refactor: golf Wick theorem, Lorentz boosts, spectral, FLRW, magnetic…

b4819f0

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

refactor: golf area-unit, SU5 quanta/charges, RHN and SM anomaly proofs

31d5ea4

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

refactor: golf Lorentz group/algebra proofs

e121eca

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

refactor: golf 1D operator, reflectionless-potential, spectral-measur…

f608f00

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

refactor: golf create-annihilate and anomaly-cancellation proofs

dffe34e

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

refactor: golf CKM invariants, Maxwell, SU5 flux/charge, space-distan…

5d2b568

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

refactor: golf Lorentz rep, angular-momentum, distributional-potentia…

5a75ec9

…l, rigid-body proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

refactor: golf harmonic-oscillator, Wirtinger, tensor, Higgs, canonic…

f7cc51c

…al-ensemble proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

refactor: golf Standard Model gauge-group quotient proofs

587a2c7

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

Vilin97 force-pushed the claude/golf-proofs-more branch from 7fe99cd to 587a2c7 Compare July 6, 2026 12:23

Vilin97 and others added 2 commits July 6, 2026 22:23

refactor: golf Space module, spacetime derivatives, canonical-ensembl…

8438d2a

…e, EM potential proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

refactor: golf damped-oscillator, inner-product, Wick uncontracted-li…

456a04a

…st, tensor-constructor proofs Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01YRA4h6VJRALwaZK1xeUsg3

Vilin97 force-pushed the claude/golf-proofs-more branch from 1fe17b6 to 456a04a Compare July 6, 2026 23:10

Vilin97 mentioned this pull request Jul 6, 2026

Golf proofs: TotalDerivativeEquivalence, HarmonicOscillator, DampedHarmonicOscillator #1373

Draft

style: satisfy golf proof lint checks

b92128e

Replace non-terminal broad simp calls with Lean-generated simp only sets and split the long DimSevenPlane simp line reported by the Python style linter. Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>

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refactor: golf proofs (stacked on #1332)#1364

refactor: golf proofs (stacked on #1332)#1364
Vilin97 wants to merge 26 commits into
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Vilin97 commented Jul 4, 2026 •

edited

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Process disclosure (per AI-POLICY.md)

Prompt used

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Vilin97 commented Jul 4, 2026 •

edited

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