Theorems · Theorem · Lie groups

MulEquiv.toContinuousMulEquiv_apply

∀ {G : Type u} [inst : TopologicalSpace G] {H : Type v} [inst_1 : TopologicalSpace H] [inst_2 : Mul G] [inst_3 : Mul H]
  (e : G ≃* H) (he : ∀ (s : Set H), IsOpen (⇑e ⁻¹' s) ↔ IsOpen s) (a : G), (e.toContinuousMulEquiv he) a = e a

Defined in

Mathlib.Topology.Algebra.ContinuousMonoidHom

Cited by

0 results in Mathlib

Foundations

Depth 21 from the axioms · uses Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceMulMul