OAI/Analysis/KadisonSimilarity/UnconditionalMain.lean
4 declarations, 0 contain sorry, 0 declared as axioms
Uniform matrix commutator estimates and universal hyperreflexivity, with the numerical constant obtained from the factor estimates and central decomposition.
- theorem
OAI.KadisonSimilarity.uniformCommutatorEstimateline 15Source documentation
The manuscript's uniform matrix commutator estimate, with no remaining published structural hypotheses.
theorem uniformCommutatorEstimate : UniformCommutatorEstimate.{u} universalConstant := …Mentions: OAI.KadisonSimilarity.universalConstant
- theorem
OAI.KadisonSimilarity.universalCommutatorTheoremline 19Source documentation
Theorem
thm:universalof 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} := … - theorem
OAI.KadisonSimilarity.universalHyperreflexivityline 23Source documentation
Corollary
cor:hyperreflexivityof 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
- theorem
OAI.KadisonSimilarity.similarityTheorem_of_kirchbergline 28Source 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} := …