Theorems · Theorem · category theory
CategoryTheory.Groupoid.invEquiv_symm_apply
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] {X Y : C} (a : Y ⟶ X),
CategoryTheory.Groupoid.invEquiv.symm a = CategoryTheory.Groupoid.inv a- Defined in
- Mathlib.CategoryTheory.Groupoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Groupoid.invstatement · cited by 36
- CategoryTheory.Groupoid.invEquivstatement and proof · cited by 2
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