Theorems · Definition · category theory

CategoryTheory.eHomWhiskerLeft

(V : Type u') →
  [inst : CategoryTheory.Category.{v', u'} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {C : Type u} →
        [inst_2 : CategoryTheory.Category.{v, u} C] →
          [inst_3 : CategoryTheory.EnrichedOrdinaryCategory V C] →
            (X : C) → {Y Y' : C} → (Y ⟶ Y') → ((X ⟶[V] Y) ⟶ X ⟶[V] Y')

The morphism (X ⟶[V] Y) ⟶ (X ⟶[V] Y') induced by a morphism Y ⟶ Y'.

Defined in

Mathlib.CategoryTheory.Enriched.Ordinary.Basic

Cited by

26 results in Mathlib

Foundations

Depth 14 from the axioms · uses Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory