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Theorems · Inductive type · category theory

CategoryTheory.IsMonoidalDistrib

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.MonoidalCategory C] → [CategoryTheory.Limits.HasBinaryCoproducts C] → Prop

A monoidal category with binary coproducts is distributive if it is both left and right distributive.

Defined in
Mathlib.CategoryTheory.Distributive.Monoidal
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Limits.HasBinaryCoproducts
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.IsCartesianDistributive · cited by 2CategoryTheory.IsCartesia…CategoryTheory.SymmetricCategory.isMonoidalDistrib_of_isMonoidalLeftDistrib · cited by 1SymmetricCategory.isMonoi…CategoryTheory.IsMonoidalDistrib.casesOn · cited by 0IsMonoidalDistrib.casesOnCategoryTheory.IsMonoidalDistrib.recOn · cited by 0IsMonoidalDistrib.recOnCategoryTheory.SymmetricCategory.rightDistrib_of_leftDistrib · cited by 0SymmetricCategory.rightDi…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.Limits.HasBinaryCoproducts · cited by 98Limits.HasBinaryCoproductsCategoryTheory.IsMonoidalDist…CITED BYCITES

Cites3

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Cited by5

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