Theorems · Theorem · category theory

CategoryTheory.IsMonoidalRightDistrib.of_isIso_coprodComparisonTensorRight

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.Limits.HasBinaryCoproducts C]
  [i :
    ∀ {X Y Z : C},
      CategoryTheory.IsIso
        (CategoryTheory.Limits.coprodComparison (CategoryTheory.MonoidalCategory.tensorRight X) Y Z)],
  CategoryTheory.IsMonoidalRightDistrib C

Defined in: Mathlib.CategoryTheory.Distributive.Monoidal
Cited by: 0 results in Mathlib
Foundations: Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.Limits.HasBinaryCoproducts CategoryTheory.IsIso

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Functorproof · cited by 16,252
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.Discretestatement and proof · cited by 2,447
CategoryTheory.Limits.WalkingPairstatement and proof · cited by 1,319
CategoryTheory.IsIsostatement and proof · cited by 1,156
CategoryTheory.Limits.pairstatement · cited by 536
CategoryTheory.Limits.coprodstatement · cited by 252
CategoryTheory.MonoidalCategory.tensorRightstatement and proof · cited by 119
CategoryTheory.Limits.HasBinaryCoproductsstatement and proof · cited by 98
CategoryTheory.Limits.coprodComparisonstatement and proof · cited by 22

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