Theorems · Definition · category theory

CategoryTheory.ForgetEnrichment.homOf

{C : Type u₁} →
  (W : Type v) →
    [inst : CategoryTheory.Category.{w, v} W] →
      [inst_1 : CategoryTheory.MonoidalCategory W] →
        [inst_2 : CategoryTheory.EnrichedCategory W C] →
          {X Y : C} →
            (CategoryTheory.MonoidalCategoryStruct.tensorUnit W ⟶ X ⟶[W] Y) →
              (CategoryTheory.ForgetEnrichment.of W X ⟶ CategoryTheory.ForgetEnrichment.of W Y)

Typecheck a (𝟙_ W)-shaped W-morphism as a morphism in ForgetEnrichment W C.

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

14 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategory