Theorems · Theorem · functional analysis

continuous_selfAdjointPart

∀ (R : Type u_1) (A : Type u_2) [inst : Semiring R] [inst_1 : StarMul R] [inst_2 : TrivialStar R]
  [inst_3 : AddCommGroup A] [inst_4 : Module R A] [inst_5 : StarAddMonoid A] [inst_6 : StarModule R A]
  [inst_7 : Invertible 2] [inst_8 : TopologicalSpace A] [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A],
  Continuous ⇑(selfAdjointPart R)

Defined in

Mathlib.Topology.Algebra.Module.Star

Cited by

1 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringStarMulTrivialStarAddCommGroupModuleStarAddMonoidStarModuleInvertibleTopologicalSpaceContinuousAddContinuousStarContinuousConstSMul