Theorems · Theorem · category theory

CategoryTheory.leftDistrib.congr_simp

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.Limits.HasBinaryCoproducts C] [inst_3 : CategoryTheory.IsMonoidalLeftDistrib C] (X Y Z : C),
  CategoryTheory.leftDistrib X Y Z = CategoryTheory.leftDistrib X Y Z

Defined in: Mathlib.CategoryTheory.Distributive.Monoidal
Cited by: 0 results in Mathlib
Foundations: Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.Limits.HasBinaryCoproducts CategoryTheory.IsMonoidalLeftDistrib

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.Discretestatement · cited by 2,447
CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
CategoryTheory.Limits.pairstatement · cited by 536
CategoryTheory.Limits.coprodstatement · cited by 252
CategoryTheory.Limits.HasBinaryCoproductsstatement and proof · cited by 98
CategoryTheory.IsMonoidalLeftDistribstatement and proof · cited by 13
CategoryTheory.leftDistribstatement and proof · cited by 12

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