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feat: add Oppenheim inequality eval problem - #7

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eval/oppenheim-inequality
Apr 16, 2026
Merged

feat: add Oppenheim inequality eval problem#7
kim-em merged 1 commit into
mainfrom
eval/oppenheim-inequality

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@kim-em kim-em commented Apr 13, 2026

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Summary

  • Adds the Oppenheim inequality (1930) as an eval problem: for PSD matrices A, B, det(A * B) >= det(A) . prod_i B_ii
  • Bumps mathlib from v4.30.0-rc1 to 50d5513e83c to pick up the Schur product theorem (PosSemidef.hadamard)
  • New file: FormalMathEval/LinearAlgebra/Oppenheim.lean with sorry-d theorem statement

Test plan

  • CI builds the new Lean file without errors (statement with sorry should be accepted)
  • eval_inventory picks up the new problem from manifests/problems.toml

🤖 Prepared with Claude Code

@kim-em
kim-em force-pushed the eval/oppenheim-inequality branch 2 times, most recently from 9df184a to 1ff2ae9 Compare April 16, 2026 07:42
Uses the newly formalized Schur product theorem (PosSemidef.hadamard)
to state Oppenheim's 1930 inequality: det(A ⊙ B) ≥ det(A) · ∏ᵢ Bᵢᵢ
for positive semidefinite matrices A, B.

Bumps mathlib to include the Schur product theorem PR.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
@kim-em
kim-em force-pushed the eval/oppenheim-inequality branch from 1ff2ae9 to 256b85e Compare April 16, 2026 07:48
@kim-em
kim-em merged commit b7709a0 into main Apr 16, 2026
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