Theorems · Theorem · functional analysis

WeakDual.CharacterSpace.toAlgHom_apply

∀ {𝕜 : Type u_1} {A : Type u_2} [inst : CommRing 𝕜] [inst_1 : NoZeroDivisors 𝕜] [inst_2 : TopologicalSpace 𝕜]
  [inst_3 : ContinuousAdd 𝕜] [inst_4 : ContinuousConstSMul 𝕜 𝕜] [inst_5 : TopologicalSpace A] [inst_6 : Semiring A]
  [inst_7 : Algebra 𝕜 A] (φ : ↑(WeakDual.characterSpace 𝕜 A)) (a : A),
  (WeakDual.CharacterSpace.toAlgHom φ) a = (WeakDual.CharacterSpace.toNonUnitalAlgHom φ).toFun a

Defined in

Mathlib.Topology.Algebra.Module.Spaces.CharacterSpace

Cited by

0 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingNoZeroDivisorsTopologicalSpaceContinuousAddContinuousConstSMulTopologicalSpaceSemiringAlgebra