Theorems · Theorem · category theory
CategoryTheory.Functor.Monoidal.whiskerRight_app_snd
∀ {J : Type u_1} {C : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} J]
[inst_1 : CategoryTheory.Category.{v_2, u_2} C] [inst_2 : CategoryTheory.CartesianMonoidalCategory C]
{F₁ F₁' : CategoryTheory.Functor J C} (f : F₁ ⟶ F₁') (F₂ : CategoryTheory.Functor J C) (j : J),
CategoryTheory.CategoryStruct.comp ((CategoryTheory.MonoidalCategoryStruct.whiskerRight f F₂).app j)
(CategoryTheory.SemiCartesianMonoidalCategory.snd (F₁'.obj j) (F₂.obj j)) =
CategoryTheory.SemiCartesianMonoidalCategory.snd (F₁.obj j) (F₂.obj j)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement · cited by 903
- CategoryTheory.SemiCartesianMonoidalCategory.sndstatement and proof · cited by 181
- CategoryTheory.CartesianMonoidalCategory.whiskerRight_sndproof · cited by 16
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