Theorems · Theorem · category theory
CategoryTheory.WideSubcategory.hom_ext
∀ {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.hom = g.hom → f = g- Defined in
- Mathlib.CategoryTheory.Widesubcategory
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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.InducedWideCategory.Hom.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.WideSubcategory.hom_ext_iffproof · cited by 0