Theorems · Theorem · general topology

ContinuousMap.compStarAlgHom_id

∀ (X : Type u_1) {𝕜 : Type u_2} {A : Type u_3} [inst : TopologicalSpace X] [inst_1 : CommSemiring 𝕜]
  [inst_2 : TopologicalSpace A] [inst_3 : Semiring A] [inst_4 : IsTopologicalSemiring A] [inst_5 : Star A]
  [inst_6 : ContinuousStar A] [inst_7 : Algebra 𝕜 A],
  ContinuousMap.compStarAlgHom X (StarAlgHom.id 𝕜 A) ⋯ = StarAlgHom.id 𝕜 C(X, A)

ContinuousMap.compStarAlgHom sends the identity StarAlgHom on A to the identity StarAlgHom on C(X, A).

Defined in

Mathlib.Topology.ContinuousMap.Star

Cited by

0 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCommSemiringTopologicalSpaceSemiringIsTopologicalSemiringStarContinuousStarAlgebra