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Fix warnings and proved DMChannel.on_fin and conj_unitary_eigenvalue_equiv#35

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dennj wants to merge 3 commits intoTimeroot:mainfrom
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Fix warnings and proved DMChannel.on_fin and conj_unitary_eigenvalue_equiv#35
dennj wants to merge 3 commits intoTimeroot:mainfrom
dennj:main

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@dennj dennj commented Mar 26, 2026

Summary

  • Fix all non-sorry warnings (deprecated APIs, unused simp args, deprecated imports, adopt exact? suggestions)
  • Prove DMChannel.on_fin (product of distributions sums to 1 via Finset.sum_prod_piFinset)
  • Prove conj_unitary_eigenvalue_equiv (eigenvalues preserved under unitary conjugation)
  • Rename DistributionProbDistribution in Channel.lean (was broken since the rename)

Notes

  • The posSemidef_iff_eq_conjTranspose_mul_self deprecations required open MatrixOrder and classical for the new CStarAlgebra API
  • Only sorry warnings remain

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