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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 E

Composition 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
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.EnrichedCat.whiskerRight · cited by 3EnrichedCat.whiskerRightCategoryTheory.EnrichedCat.associator · cited by 2EnrichedCat.associatorCategoryTheory.EnrichedCat.leftUnitor · cited by 2EnrichedCat.leftUnitorCategoryTheory.EnrichedCat.rightUnitor · cited by 2EnrichedCat.rightUnitorCategoryTheory.EnrichedCat.whiskerLeft · cited by 2EnrichedCat.whiskerLeftCategoryTheory.EnrichedCat.whiskerRight_out_app · cited by 2EnrichedCat.whiskerRight_…CategoryTheory.EnrichedFunctor.forgetComp · cited by 2EnrichedFunctor.forgetCompCategoryTheory.EnrichedCat.whiskerLeft_out_app · cited by 1EnrichedCat.whiskerLeft_o…CategoryTheory.EnrichedFunctor.comp_map · cited by 1EnrichedFunctor.comp_mapCategoryTheory.EnrichedCat.associator_hom_out_app · cited by 0EnrichedCat.associator_ho…CategoryTheory.EnrichedCat.associator_inv_out_app · cited by 0EnrichedCat.associator_in…CategoryTheory.EnrichedCat.comp_whiskerRight · cited by 0EnrichedCat.comp_whiskerR…CategoryTheory.EnrichedCat.leftUnitor_hom_out_app · cited by 0EnrichedCat.leftUnitor_ho…CategoryTheory.EnrichedCat.leftUnitor_inv_out_app · cited by 0EnrichedCat.leftUnitor_in…CategoryTheory.EnrichedCat.rightUnitor_hom_out_app · cited by 0EnrichedCat.rightUnitor_h…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.EnrichedCategory · cited by 99CategoryTheory.EnrichedCa…CategoryTheory.EnrichedFunctor · cited by 49CategoryTheory.EnrichedFu…CategoryTheory.EnrichedFunctor.obj · cited by 36EnrichedFunctor.objCategoryTheory.EnrichedFunctor.map · cited by 26EnrichedFunctor.mapEnrichedFunctor.compCITED BYCITES

Cites7

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Cited by22

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