Theorems · Theorem · category theory
CategoryTheory.InducedCategory.Hom.mk.inj
∀ {C : Type u₁} {D : Type u₂} {inst : CategoryTheory.Category.{v, u₂} D} {F : C → D}
{X Y : CategoryTheory.InducedCategory D F} {hom hom_1 : F X ⟶ F Y}, { hom := hom } = { hom := hom_1 } → hom = hom_1- Defined in
- Mathlib.CategoryTheory.InducedCategory
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 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.InducedCategorystatement and proof · cited by 71
- CategoryTheory.InducedCategory.Homstatement · cited by 12
- CategoryTheory.InducedCategory.Hom.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.InducedCategory.Hom.mk.injEqproof · cited by 0