Theorems · Theorem · functional analysis

WeakDual.CharacterSpace.ext_ker

∀ {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 : Ring A]
  [inst_7 : Algebra 𝕜 A] {φ ψ : ↑(WeakDual.characterSpace 𝕜 A)}, RingHom.ker φ = RingHom.ker ψ → φ = ψ

Defined in

Mathlib.Topology.Algebra.Module.Spaces.CharacterSpace

Cited by

1 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingNoZeroDivisorsTopologicalSpaceContinuousAddContinuousConstSMulTopologicalSpaceRingAlgebra