OAI/Analysis/KadisonKastler/KaplanskyDensity.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Discharging the finite-test Kaplansky density input

The self-adjoint contraction case was proved by the rational bounded transform. The two-by-two self-adjoint matrix trick gives the general case without a loss in the contraction bound.

  1. theorem OAI.KadisonKastler.norm_entry_le line 29
  2. theorem OAI.KadisonKastler.publishedKaplanskyDensity line 40

    Source documentation

    Kaplansky density in precisely the finite-test formulation used by the conditional main theorem. This proof has no published hypotheses.

    theorem publishedKaplanskyDensity : PublishedKaplanskyDensity.{u} := by
    …