OAI/Analysis/KadisonKastler/KaplanskyDensity.lean
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.
- theorem
OAI.KadisonKastler.norm_entry_leline 29 - theorem
OAI.KadisonKastler.publishedKaplanskyDensityline 40Source 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 …