Theorems · Definition · category theory
CategoryTheory.Bicategory.InducedBicategory.Hom.hom
{B : Type u_1} →
{C : Type u_2} →
[inst : CategoryTheory.Bicategory C] →
{F : B → C} → {X Y : CategoryTheory.Bicategory.InducedBicategory C F} → X.Hom Y → (F X ⟶ F Y)The morphism in C underlying the morphism in InducedBicategory C F.
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.InducedBicategorystatement and proof · cited by 39
- CategoryTheory.Bicategory.InducedBicategory.Homstatement and proof · cited by 5
Cited by44
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.InducedBicategory.Hom₂.homstatement · cited by 25
- CategoryTheory.Bicategory.InducedBicategory.forgetproof · cited by 7
- CategoryTheory.Bicategory.InducedBicategory.hom₂_extstatement · cited by 2
- CategoryTheory.Bicategory.InducedBicategory.isoMkstatement and proof · cited by 2
- CategoryTheory.Bicategory.InducedBicategory.Hom.extstatement and proof · cited by 2
- CategoryTheory.Bicategory.InducedBicategory.Hom₂.extstatement and proof · cited by 2
- CategoryTheory.Bicategory.InducedBicategory.hom_extstatement and proof · cited by 1
- CategoryTheory.Bicategory.InducedBicategory.Hom₂.mk.injstatement and proof · cited by 1
- CategoryTheory.Bicategory.InducedBicategory.Hom₂.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.Bicategory.InducedBicategory.bicategory_associator_hom_homstatement · cited by 0
- CategoryTheory.Bicategory.InducedBicategory.bicategory_associator_inv_homstatement · cited by 0
- CategoryTheory.Bicategory.InducedBicategory.bicategory_comp_homstatement and proof · cited by 0