Theorems · Theorem · general topology

Topology.IsQuotientMap.homeomorph_symm_apply

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : C(X, Y)}
  (hf : Topology.IsQuotientMap ⇑f) (b : Y), hf.homeomorph.symm b = Quotient.mk'' (Function.surjInv ⋯ b)

Defined in

Mathlib.Topology.ContinuousMap.Basic

Cited by

1 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace