OAI/Analysis/KadisonSimilarity/UnconditionalMain.lean

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Uniform matrix commutator estimates and universal hyperreflexivity, with the numerical constant obtained from the factor estimates and central decomposition.

  1. theorem OAI.KadisonSimilarity.uniformCommutatorEstimate line 15

    Source documentation

    The manuscript's uniform matrix commutator estimate, with no remaining published structural hypotheses.

    theorem uniformCommutatorEstimate : UniformCommutatorEstimate.{u} universalConstant :=
    …

    Mentions: OAI.KadisonSimilarity.universalConstant

  2. theorem OAI.KadisonSimilarity.universalCommutatorTheorem line 19

    Source documentation

    Theorem thm:universal of the manuscript.

    Distinct definitions of this name: ComparatorChallenges/KadisonSimilarity.lean:107 (same statement text; different proof or body). Qualify references as OAI.KadisonSimilarity.universalCommutatorTheorem@path.

    theorem universalCommutatorTheorem : UniversalCommutatorTheorem.{u} :=
    …
  3. theorem OAI.KadisonSimilarity.universalHyperreflexivity line 23

    Source documentation

    Corollary cor:hyperreflexivity of the manuscript.

    Distinct definitions of this name: ComparatorChallenges/KadisonSimilarity.lean:111 (same statement text; different proof or body). Qualify references as OAI.KadisonSimilarity.universalHyperreflexivity@path.

    theorem universalHyperreflexivity : UniversalHyperreflexivity.{u} universalConstant :=
    …

    Mentions: OAI.KadisonSimilarity.universalConstant

  4. theorem OAI.KadisonSimilarity.similarityTheorem_of_kirchberg line 28

    Source documentation

    Kirchberg's derivation criterion and the universal commutator estimate imply similarity, with independent source and Hilbert universes.

    theorem similarityTheorem_of_kirchberg
        (kirchberg : ∀ (A : Type (max u v)) [CStarAlgebra A],
          KirchbergDerivationCriterion.{max u v, max u v} A) : SimilarityTheorem.{u,v} :=
    …