Theorems · Theorem · functional analysis

WeakDual.CharacterSpace.ext

∀ {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] {φ ψ : ↑(WeakDual.characterSpace 𝕜 A)}, (∀ (x : A), φ x = ψ x) → φ = ψ

Defined in

Mathlib.Topology.Algebra.Module.Spaces.CharacterSpace

Cited by

4 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringTopologicalSpaceContinuousAddContinuousConstSMulNonUnitalNonAssocSemiringTopologicalSpaceModule