Theorems · Definition · category theory

CategoryTheory.EnrichedCat.whiskerLeft

{V : Type v} →
  [inst : CategoryTheory.Category.{w, v} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {C : Type u} →
        [inst_2 : CategoryTheory.EnrichedCategory V C] →
          {D : Type u₁} →
            [inst_3 : CategoryTheory.EnrichedCategory V D] →
              {E : Type u₂} →
                [inst_4 : CategoryTheory.EnrichedCategory V E] →
                  (F : CategoryTheory.EnrichedFunctor V C D) →
                    {G H : CategoryTheory.EnrichedFunctor V D E} →
                      (G ⟶ H) → (CategoryTheory.EnrichedFunctor.comp V F G ⟶ CategoryTheory.EnrichedFunctor.comp V F H)

Whisker a V-enriched natural transformation on the left.

Defined in

Mathlib.CategoryTheory.Enriched.EnrichedCat

Cited by

2 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory