Theorems · Definition · category theory

CategoryTheory.TransportEnrichment

{V : Type v} →
  [inst : CategoryTheory.Category.{w, v} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {W : Type v'} →
        [inst_2 : CategoryTheory.Category.{w', v'} W] →
          [inst_3 : CategoryTheory.MonoidalCategory W] →
            (F : CategoryTheory.Functor V W) → [F.LaxMonoidal] → Type u₁ → Type u₁

A type synonym for C, which should come equipped with a V-enriched category structure. In a moment we will equip this with the W-enriched category structure obtained by applying the functor F : LaxMonoidalFunctor V W to each hom object.

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

10 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Functor.LaxMonoidal