Theorems · Theorem · functional analysis

WeakDual.CharacterSpace.union_zero

∀ (𝕜 : Type u_1) (A : Type u_2) [inst : CommSemiring 𝕜] [inst_1 : TopologicalSpace 𝕜] [inst_2 : ContinuousAdd 𝕜]
  [inst_3 : ContinuousConstSMul 𝕜 𝕜] [inst_4 : NonUnitalNonAssocSemiring A] [inst_5 : TopologicalSpace A]
  [inst_6 : Module 𝕜 A], WeakDual.characterSpace 𝕜 A ∪ {0} = {φ | ∀ (x y : A), φ (x * y) = φ x * φ y}

Defined in

Mathlib.Topology.Algebra.Module.Spaces.CharacterSpace

Cited by

2 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringTopologicalSpaceContinuousAddContinuousConstSMulNonUnitalNonAssocSemiringTopologicalSpaceModule