Theorems · Inductive type · category theory
CategoryTheory.IsMonoidalRightDistrib
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.MonoidalCategory C] → [CategoryTheory.Limits.HasBinaryCoproducts C] → PropA monoidal category with binary coproducts is right distributive if the right tensor product functor preserves binary coproducts.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
- CategoryTheory.Limits.HasBinaryCoproductsstatement · cited by 98
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.rightDistribstatement and proof · cited by 11
- CategoryTheory.rightDistrib_homstatement and proof · cited by 3
- CategoryTheory.coprod_inl_rightDistrib_homstatement and proof · cited by 2
- CategoryTheory.coprod_inr_rightDistrib_homstatement and proof · cited by 2
- CategoryTheory.whiskerRight_coprod_inl_rightDistrib_invstatement and proof · cited by 1
- CategoryTheory.whiskerRight_coprod_inr_rightDistrib_invstatement and proof · cited by 1
- CategoryTheory.rightDistrib.congr_simpstatement and proof · cited by 0
- CategoryTheory.IsMonoidalDistrib.casesOnstatement and proof · cited by 0
- CategoryTheory.IsMonoidalDistrib.recOnstatement and proof · cited by 0
- CategoryTheory.IsMonoidalRightDistrib.casesOnstatement and proof · cited by 0
- CategoryTheory.IsMonoidalRightDistrib.of_isIso_coprodComparisonTensorRightstatement · cited by 0
- CategoryTheory.whiskerRight_coprod_inl_rightDistrib_inv_assocstatement and proof · cited by 0