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refactor: golf proofs from Aristotle optimization run#8

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project-navi-bot merged 3 commits intomainfrom
refactor/proof-golf-aristotle
Mar 28, 2026
Merged

refactor: golf proofs from Aristotle optimization run#8
project-navi-bot merged 3 commits intomainfrom
refactor/proof-golf-aristotle

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@Fieldnote-Echo
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Summary

  • Cherry-picked 8 clean proof golfs from Aristotle's optimization pass across 4 files
  • All theorem statements unchanged; modifications are proof-internal only
  • Verified: lake build --wfail passes, zero sorries, axiom dashboard unchanged
  • Net: -17 lines of proof code (39 deletions, 17 insertions)

Changes by file

File Proofs Change
CoefficientLemmas a_nonneg, a_le_one tactic → term mode (drop by unfold)
OperatorLemmas laplacian_zero, laplacian_linear have/simp/exact → simpa
LinftyAlgebraic rpow_le_of_mul_rpow_le, linfty_bound_algebraic backward proof strategy, inline helper
Theorems spectral_characterization_1d, scaling_algebraic_contradiction, exists_isWeakCoherentConfiguration collapse named intermediates

Rejected

  • scaling_uniqueness golf — collapsed 6-step commented proof into dense convert/norm_num/ring blob. Readability loss unacceptable for paper formalization; also emits ring failure info on Lean 4.28.

Test plan

  • lake build --wfail �� full build passes
  • lake build CdFormal.Verify — axiom dashboard unchanged (17 declarations, same deps)
  • Each modified file compiled individually before full build
  • CI confirms clean build

Cherry-picked clean proof golfs from Aristotle's optimization pass,
verified against Lean 4.28.0 + current Mathlib. All theorem statements
unchanged; modifications are proof-internal only.

- CoefficientLemmas: a_nonneg, a_le_one to term mode (drop by unfold)
- OperatorLemmas: laplacian_zero, laplacian_linear via simpa
- LinftyAlgebraic: rpow_le_of_mul_rpow_le backward proof, inline helper
- Theorems: spectral_characterization_1d one-liner, nlinarith with hint,
  inline linfty_bound

Rejected scaling_uniqueness golf (readability loss, fragile ring tactic).
Net: -17 lines, zero sorries, axiom dashboard unchanged.
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@project-navi-bot project-navi-bot self-requested a review March 28, 2026 23:09
@project-navi-bot project-navi-bot merged commit eb9364a into main Mar 28, 2026
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@project-navi-bot project-navi-bot deleted the refactor/proof-golf-aristotle branch March 28, 2026 23:24
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2 participants