Theorems · Theorem · category theory
CategoryTheory.WideSubcategory.isoMk_inv_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : CategoryTheory.MorphismProperty C}
[inst_1 : P.IsMultiplicative] {X Y : CategoryTheory.WideSubcategory P} (e : X.obj ≅ Y.obj) (h₁ : P e.hom)
(h₂ : P e.inv), (CategoryTheory.WideSubcategory.isoMk e h₁ h₂).inv.hom = e.inv- Defined in
- Mathlib.CategoryTheory.Widesubcategory
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- Foundations
- Depth 15 from the axioms · uses propext
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
- CategoryTheory.WideSubcategorystatement and proof · cited by 26
- CategoryTheory.WideSubcategory.objstatement and proof · cited by 22
- CategoryTheory.InducedWideCategory.Hom.homstatement and proof · cited by 19
- CategoryTheory.WideSubcategory.isoMkstatement and proof · cited by 6
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