Theorems · Theorem · category theory
CategoryTheory.Groupoid.isoEquivHom_symm_apply_hom
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (X Y : C) (f : X ⟶ Y),
((CategoryTheory.Groupoid.isoEquivHom X Y).symm f).hom = f- Defined in
- Mathlib.CategoryTheory.Groupoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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Cites8
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
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Isostatement · cited by 3,963
- Equiv.symmstatement and proof · cited by 3,681
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Groupoid.isoEquivHomstatement and proof · cited by 4
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