Theorems · Theorem · Lie groups

ContinuousMonoidHom.continuous_toFun

∀ {A : Type u_2} {B : Type u_3} [inst : Monoid A] [inst_1 : Monoid B] [inst_2 : TopologicalSpace A]
  [inst_3 : TopologicalSpace B] (self : A →ₜ* B), Continuous (↑self.toMonoidHom).toFun

Proposition that toFun is continuous

Defined in

Mathlib.Topology.Algebra.ContinuousMonoidHom

Cited by

2 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

MonoidMonoidTopologicalSpaceTopologicalSpace