Theorems · Theorem · functional analysis

algebraMapCLM_apply

∀ (R : Type u_1) (A : Type u) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : TopologicalSpace R] [inst_4 : TopologicalSpace A] [inst_5 : ContinuousSMul R A] (a : R),
  (algebraMapCLM R A) a = (algebraMap R A) a

Defined in

Mathlib.Topology.Algebra.Algebra

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraTopologicalSpaceTopologicalSpaceContinuousSMul