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} {x y : X.Hom Y}, x.hom = y.hom → x = y- Defined in
- Mathlib.CategoryTheory.InducedCategory
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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.Homstatement and proof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.InducedCategory.hom_extproof · cited by 16
- CategoryTheory.InducedCategory.Hom.ext_iffproof · cited by 0