Theorems · Theorem · general topology

OpenPartialHomeomorph.restrOpen.congr_simp

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e e_1 : OpenPartialHomeomorph X Y),
  e = e_1 → ∀ (s s_1 : Set X) (e_s : s = s_1) (hs : IsOpen s), e.restrOpen s hs = e_1.restrOpen s_1 ⋯

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Composition

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace