Theorems · Theorem · category theory
CategoryTheory.CartesianMonoidalCategory.lift_whiskerLeft
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{X Y Z W : C} (f : X ⟶ Y) (g : X ⟶ Z) (h : Z ⟶ W),
CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.lift f g)
(CategoryTheory.MonoidalCategoryStruct.whiskerLeft Y h) =
CategoryTheory.CartesianMonoidalCategory.lift f (CategoryTheory.CategoryStruct.comp g h)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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 and proof · 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.fstproof · cited by 184
- CategoryTheory.SemiCartesianMonoidalCategory.sndproof · cited by 181
- CategoryTheory.CartesianMonoidalCategory.liftstatement and proof · cited by 160
- CategoryTheory.CartesianMonoidalCategory.hom_extproof · cited by 46
- CategoryTheory.CartesianMonoidalCategory.lift_sndproof · cited by 37
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.CartesianMonoidalCategory.lift_whiskerLeft_assocproof · cited by 9
- CategoryTheory.AddGrpObj.neg_homproof · cited by 2
- CategoryTheory.GrpObj.inv_homproof · cited by 2
- CategoryTheory.frobeniusMorphism_mateproof · cited by 1
- CategoryTheory.AddGrpObj.isPullbackproof · cited by 1
- CategoryTheory.GrpObj.isPullbackproof · cited by 1