Theorems · Theorem · Lie groups

ContinuousMonoidHom.ext

∀ {A : Type u_2} {B : Type u_3} [inst : Monoid A] [inst_1 : Monoid B] [inst_2 : TopologicalSpace A]
  [inst_3 : TopologicalSpace B] {f g : A →ₜ* B}, (∀ (x : A), f x = g x) → f = g

Defined in

Mathlib.Topology.Algebra.ContinuousMonoidHom

Cited by

7 results in Mathlib

Foundations

Depth 14 from the axioms · uses Quot.sound

Assumes

MonoidMonoidTopologicalSpaceTopologicalSpace