Theorems · Theorem · general topology

ContinuousMap.coeFnMonoidHom_apply

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : Monoid β]
  [inst_3 : ContinuousMul β] (f : C(α, β)) (a : α), ContinuousMap.coeFnMonoidHom f a = f a

Defined in

Mathlib.Topology.ContinuousMap.Algebra

Cited by

0 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceMonoidContinuousMul