Theorems · Theorem · Lie groups

ContinuousMulEquiv.continuous_invFun

∀ {G : Type u} [inst : TopologicalSpace G] {H : Type v} [inst_1 : TopologicalSpace H] [inst_2 : Mul G] [inst_3 : Mul H]
  (self : G ≃ₜ* H), Continuous self.invFun

The inverse map of a homeomorphism is a continuous function.

Defined in

Mathlib.Topology.Algebra.ContinuousMonoidHom

Cited by

0 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpaceMulMul