Theorems · Definition · category theory
CategoryTheory.InducedWideCategory.Hom.hom
{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.Hom Y → (F X ⟶ F Y)The underlying morphism.
- Defined in
- Mathlib.CategoryTheory.Widesubcategory
- Cited by
- 19 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.
Cites6
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 · cited by 32,603
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
- CategoryTheory.InducedWideCategorystatement and proof · cited by 12
- CategoryTheory.InducedWideCategory.Homstatement and proof · cited by 8
Cited by20
Results whose statement or proof uses this declaration.
- CategoryTheory.InducedWideCategory.Hom.extstatement and proof · cited by 2
- CategoryTheory.wideInducedFunctorproof · cited by 2
- CategoryTheory.WideSubcategory.hom_extstatement and proof · cited by 1
- CategoryTheory.WideSubcategory.tensorHom_homstatement and proof · cited by 0
- CategoryTheory.InducedWideCategory.category_comp_homstatement and proof · cited by 0
- CategoryTheory.InducedWideCategory.category_id_homstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.tensorμ_homstatement · cited by 0
- CategoryTheory.WideSubcategory.whiskerLeft_homstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.whiskerRight_homstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.isoMk_hom_homstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.isoMk_inv_homstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.comul_homstatement and proof · cited by 0