Theorems · Theorem · general topology

Topology.IsEmbedding.toHomeomorph_apply_coe

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y}
  (hf : Topology.IsEmbedding f) (a : X), ↑(hf.toHomeomorph a) = f a

Defined in

Mathlib.Topology.Homeomorph.Lemmas

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpace