Theorems · Definition · general topology

Set.BijOn.toPartialEquiv

{α : Type u_1} →
  {β : Type u_2} → [Nonempty α] → (f : α → β) → (s : Set α) → (t : Set β) → Set.BijOn f s t → PartialEquiv α β

A bijection between two sets s : Set α and t : Set β provides a partial equivalence between α and β.

Defined in

Mathlib.Logic.Equiv.PartialEquiv

Cited by

5 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Nonempty