Theorems · Definition · category theory
CategoryTheory.EnrichedCategory.Hom
{V : Type v} →
{inst : CategoryTheory.Category.{w, v} V} →
{inst_1 : CategoryTheory.MonoidalCategory V} →
{C : Type u₁} → [self : CategoryTheory.EnrichedCategory V C] → C → C → VX ⟶[V] Y is the V object of morphisms from X to Y.
- Defined in
- Mathlib.CategoryTheory.Enriched.Basic
- Cited by
- 114 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
Cited by151
Results whose statement or proof uses this declaration.
- CategoryTheory.eCompstatement · cited by 64
- CategoryTheory.eHomWhiskerLeftstatement and proof · cited by 26
- CategoryTheory.EnrichedFunctor.mapstatement · cited by 26
- CategoryTheory.eHomEquivstatement · cited by 25
- CategoryTheory.eIdstatement · cited by 25
- CategoryTheory.eHomWhiskerRightstatement and proof · cited by 25
- CategoryTheory.CatEnrichedOrdinary.homEquivproof · cited by 18
- CategoryTheory.ForgetEnrichment.homOfstatement and proof · cited by 14
- CategoryTheory.Enriched.FunctorCategory.enrichedHomπstatement · cited by 12
- CategoryTheory.ForgetEnrichment.homTostatement · cited by 10
- CategoryTheory.Iso.eHomCongrstatement · cited by 9
- CategoryTheory.EnrichedFunctor.idproof · cited by 9