Theorems · Theorem · category theory
CategoryTheory.WideSubcategory.hom_ext_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : CategoryTheory.MorphismProperty C}
[inst_1 : P.IsMultiplicative] {X Y : CategoryTheory.WideSubcategory P} {f g : X ⟶ Y}, f = g ↔ f.hom = g.hom- Defined in
- Mathlib.CategoryTheory.Widesubcategory
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- Foundations
- Depth 13 from the axioms · uses propext
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- 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 and proof · cited by 19
- CategoryTheory.WideSubcategory.hom_extproof · cited by 1
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