Theorems · Theorem · category theory
CategoryTheory.InducedCategory.hom_ext
∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v, u₂} D] {F : C → D}
{X Y : CategoryTheory.InducedCategory D F} {f g : X ⟶ Y}, f.hom = g.hom → f = g- Defined in
- Mathlib.CategoryTheory.InducedCategory
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.InducedCategorystatement and proof · cited by 71
- CategoryTheory.InducedCategory.Hom.extproof · cited by 2
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.hom_extproof · cited by 27
- NonemptyFinLinOrd.hom_extproof · cited by 3
- AlgebraicGeometry.SheafedSpace.extproof · cited by 3
- SimplexCategory.Truncated.morphismProperty_eq_topproof · cited by 2
- CategoryTheory.Grp.hom_extproof · cited by 2
- CategoryTheory.LaxBraidedFunctor.hom_extproof · cited by 1
- CategoryTheory.CommComon.hom_extproof · cited by 1
- TwoP.hom_extproof · cited by 1
- CategoryTheory.AddGrp.hom_extproof · cited by 1
- CategoryTheory.CommGrp.hom_extproof · cited by 1