Theorems · Theorem · category theory
CategoryTheory.MonoidalPreadditive.whiskerLeft_add
∀ {C : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} C} {inst_1 : CategoryTheory.Preadditive C}
{inst_2 : CategoryTheory.MonoidalCategory C} [self : CategoryTheory.MonoidalPreadditive C] {X Y Z : C} (f g : Y ⟶ Z),
CategoryTheory.MonoidalCategoryStruct.whiskerLeft X (f + g) =
CategoryTheory.MonoidalCategoryStruct.whiskerLeft X f + CategoryTheory.MonoidalCategoryStruct.whiskerLeft X g- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftstatement · cited by 915
- CategoryTheory.MonoidalPreadditivestatement and proof · cited by 65
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalPreadditive.tensor_addproof · cited by 0
- CategoryTheory.monoidalPreadditive_of_faithfulproof · cited by 0