Theorems · Theorem · category theory
CategoryTheory.InducedWideCategory.Hom.ext
∀ {C : Type u₁} {D : Type u₂} {inst : CategoryTheory.Category.{v₁, u₂} D} {F : C → D}
{P : CategoryTheory.MorphismProperty D} {inst_1 : P.IsMultiplicative} {X Y : CategoryTheory.InducedWideCategory D F P}
{x y : X.Hom Y}, x.hom = y.hom → x = y- Defined in
- Mathlib.CategoryTheory.Widesubcategory
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.InducedWideCategory.Hom.homstatement and proof · cited by 19
- CategoryTheory.InducedWideCategorystatement and proof · cited by 12
- CategoryTheory.InducedWideCategory.Homstatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.WideSubcategory.hom_extproof · cited by 1
- CategoryTheory.InducedWideCategory.Hom.ext_iffproof · cited by 0