Theorems · Theorem · general topology

ContinuousMonoidHom.range_toContinuousMap

∀ (A : Type u_2) (B : Type u_3) [inst : Monoid A] [inst_1 : Monoid B] [inst_2 : TopologicalSpace A]
  [inst_3 : TopologicalSpace B],
  Set.range ContinuousMonoidHom.toContinuousMap = {f | f 1 = 1 ∧ ∀ (x y : A), f (x * y) = f x * f y}

Defined in

Mathlib.Topology.Algebra.Group.CompactOpen

Cited by

1 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Quot.sound

Assumes

MonoidMonoidTopologicalSpaceTopologicalSpace