Theorems · Theorem · category theory
CategoryTheory.wideSubcategoryInclusion.map
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (P : CategoryTheory.MorphismProperty C)
[inst_1 : P.IsMultiplicative] {X Y : CategoryTheory.WideSubcategory P} {f : X ⟶ Y},
(CategoryTheory.wideSubcategoryInclusion P).map f = f.hom- Defined in
- Mathlib.CategoryTheory.Widesubcategory
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- Foundations
- Depth 14 from the axioms · uses propext
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Cites10
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement · cited by 8,698
- 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 · cited by 22
- CategoryTheory.InducedWideCategory.Hom.homstatement · cited by 19
- CategoryTheory.wideSubcategoryInclusionstatement · cited by 2
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