Theorems · Theorem · category theory
CategoryTheory.CartesianMonoidalCategory.whiskerLeft_snd_assoc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] (X : C)
{Y Z : C} (f : Y ⟶ Z) {Z_1 : C} (h : Z ⟶ Z_1),
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X f)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.snd X Z) h) =
CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.snd X Y)
(CategoryTheory.CategoryStruct.comp f h)- Cited by
- 7 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftstatement and proof · cited by 915
- CategoryTheory.SemiCartesianMonoidalCategory.sndstatement and proof · cited by 181
- CategoryTheory.CartesianMonoidalCategory.whiskerLeft_sndproof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.CartesianMonoidalCategory.associator_hom_snd_fstproof · cited by 5
- CategoryTheory.CartesianMonoidalCategory.associator_inv_fst_sndproof · cited by 5
- CategoryTheory.CartesianMonoidalCategory.tensorμ_sndproof · cited by 1
- CategoryTheory.CartesianMonoidalCategory.tensorδ_fstproof · cited by 1
- CategoryTheory.CartesianMonoidalCategory.tensorδ_sndproof · cited by 1
- CategoryTheory.CartesianMonoidalCategory.tensorμ_fstproof · cited by 1