Theorems · Inductive type · category theory

CategoryTheory.EnrichedNatTrans

{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] →
              CategoryTheory.EnrichedFunctor V C D → CategoryTheory.EnrichedFunctor V C D → Type (max u₁ w)

A natural transformation between two enriched functors is a 𝟙_ V-graded natural transformation.

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

4 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory