Theorems · Theorem · category theory
CategoryTheory.InducedCategory.homMk_hom
∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v, u₂} D] {F : C → D}
{X Y : CategoryTheory.InducedCategory D F} (f : F X ⟶ F Y), (CategoryTheory.InducedCategory.homMk f).hom = f- Defined in
- Mathlib.CategoryTheory.InducedCategory
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 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.homMkstatement and proof · cited by 33
Cited by3
Results whose statement or proof uses this declaration.
- TannakaDuality.FiniteGroup.toRightFDRepComp_injectiveproof · cited by 1
- TannakaDuality.FiniteGroup.equivHom_injectiveproof · cited by 0
- CategoryTheory.ObjectProperty.initial_ιproof · cited by 0