Theorems · Definition · category theory
CategoryTheory.Groupoid.invEquiv
{C : Type u} → [inst : CategoryTheory.Groupoid C] → {X Y : C} → (X ⟶ Y) ≃ (Y ⟶ X)Groupoid.inv is involutive.
- Defined in
- Mathlib.CategoryTheory.Groupoid
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Equivstatement · cited by 8,337
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Groupoid.invproof · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Groupoid.invEquiv_applystatement and proof · cited by 0
- CategoryTheory.Groupoid.invEquiv_symm_applystatement and proof · cited by 0