Theorems · Inductive type · category theory
CategoryTheory.CatEnrichedOrdinary.Hom
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.EnrichedOrdinaryCategory CategoryTheory.Cat C] →
{X Y : CategoryTheory.CatEnrichedOrdinary C} → (X ⟶ Y) → (X ⟶ Y) → Type v'The 2-cells between a parallel pair of 1-cells f g in CatEnrichedOrdinary C are defined to
be the morphisms in the hom-categories provided by the EnrichedCategory Cat C structure between
the corresponding objects.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.EnrichedOrdinaryCategorystatement · cited by 109
- CategoryTheory.CatEnrichedOrdinarystatement · cited by 24
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.CatEnrichedOrdinary.Hom.mk'.noConfusionstatement · cited by 1
- CategoryTheory.CatEnrichedOrdinary.Hom.casesOnstatement and proof · cited by 1
- CategoryTheory.CatEnrichedOrdinary.Hom.mk'.injstatement · cited by 1
- CategoryTheory.CatEnrichedOrdinary.Hom.mk'.sizeOf_specstatement · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.base'statement and proof · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.ctorIdxstatement and proof · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.mk'.injEqstatement · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.noConfusionstatement and proof · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.noConfusionTypestatement and proof · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.recOnstatement and proof · cited by 0