Theorems · Definition · category theory

CategoryTheory.ForgetEnrichment.homTo

{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 : CategoryTheory.ForgetEnrichment W C} →
            (X ⟶ Y) →
              (CategoryTheory.MonoidalCategoryStruct.tensorUnit W ⟶
                CategoryTheory.ForgetEnrichment.to W X ⟶[W] CategoryTheory.ForgetEnrichment.to W Y)

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

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

10 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategory