Theorems · Theorem · functional analysis

IsometricContinuousFunctionalCalculus.isometric

∀ {R : Type u_1} {A : Type u_2} {p : outParam (A → Prop)} {inst : CommSemiring R} {inst_1 : StarRing R}
  {inst_2 : MetricSpace R} {inst_3 : IsTopologicalSemiring R} {inst_4 : ContinuousStar R} {inst_5 : Ring A}
  {inst_6 : StarRing A} {inst_7 : MetricSpace A} {inst_8 : Algebra R A}
  [self : IsometricContinuousFunctionalCalculus R A p] (a : A) (ha : p a), Isometry ⇑(cfcHom ha)

Defined in

Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric

Cited by

1 results in Mathlib

Foundations

Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

IsometricContinuousFunctionalCalculus