Theorems · Theorem · category theory

CategoryTheory.leftDistributor_ext_left

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.MonoidalCategory C] [CategoryTheory.MonoidalPreadditive C]
  [inst_4 : CategoryTheory.Limits.HasFiniteBiproducts C] {J : Type} [inst_5 : Finite J] {X Y : C} {f : J → C}
  {g h : CategoryTheory.MonoidalCategoryStruct.tensorObj X (⨁ f) ⟶ Y},
  (∀ (j : J),
      CategoryTheory.CategoryStruct.comp
          (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X (CategoryTheory.Limits.biproduct.ι f j)) g =
        CategoryTheory.CategoryStruct.comp
          (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X (CategoryTheory.Limits.biproduct.ι f j)) h) →
    g = h

Defined in

Mathlib.CategoryTheory.Monoidal.Preadditive

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalPreadditiveCategoryTheory.Limits.HasFiniteBiproductsFinite