Theorems · Definition · category theory
CategoryTheory.EnrichedFunctor.comp
(V : Type v) →
[inst : CategoryTheory.Category.{w, v} V] →
[inst_1 : CategoryTheory.MonoidalCategory V] →
{C : Type u₁} →
{D : Type u₂} →
{E : Type u₃} →
[inst_2 : CategoryTheory.EnrichedCategory V C] →
[inst_3 : CategoryTheory.EnrichedCategory V D] →
[inst_4 : CategoryTheory.EnrichedCategory V E] →
CategoryTheory.EnrichedFunctor V C D →
CategoryTheory.EnrichedFunctor V D E → CategoryTheory.EnrichedFunctor V C EComposition of enriched functors.
- Defined in
- Mathlib.CategoryTheory.Enriched.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
- CategoryTheory.EnrichedFunctorstatement and proof · cited by 49
- CategoryTheory.EnrichedFunctor.objproof · cited by 36
- CategoryTheory.EnrichedFunctor.mapproof · cited by 26
Cited by22
Results whose statement or proof uses this declaration.
- CategoryTheory.EnrichedCat.whiskerRightstatement · cited by 3
- CategoryTheory.EnrichedCat.associatorstatement and proof · cited by 2
- CategoryTheory.EnrichedCat.leftUnitorstatement · cited by 2
- CategoryTheory.EnrichedCat.rightUnitorstatement · cited by 2
- CategoryTheory.EnrichedCat.whiskerLeftstatement · cited by 2
- CategoryTheory.EnrichedCat.whiskerRight_out_appstatement · cited by 2
- CategoryTheory.EnrichedFunctor.forgetCompstatement and proof · cited by 2
- CategoryTheory.EnrichedCat.whiskerLeft_out_appstatement · cited by 1
- CategoryTheory.EnrichedFunctor.comp_mapstatement and proof · cited by 1
- CategoryTheory.EnrichedCat.associator_hom_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.associator_inv_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.comp_whiskerRightstatement · cited by 0