Theorems · Definition · category theory

CategoryTheory.EnrichedNatTrans.casesOn

{V : Type v} →
  [inst : CategoryTheory.Category.{w, v} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {C : Type u₁} →
        [inst_2 : CategoryTheory.EnrichedCategory V C] →
          {D : Type u₂} →
            [inst_3 : CategoryTheory.EnrichedCategory V D] →
              {F G : CategoryTheory.EnrichedFunctor V C D} →
                {motive : CategoryTheory.EnrichedNatTrans F G → Sort u} →
                  (t : CategoryTheory.EnrichedNatTrans F G) →
                    ((out : F.forget ⟶ G.forget) → motive { out := out }) → motive t

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

1 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory