Theorems · Theorem · category theory
CategoryTheory.MonoidalClosed.uncurry_pre_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {A B : C} (X : C)
{Y : C} [inst_2 : CategoryTheory.Closed A] [inst_3 : CategoryTheory.Closed B] (f : Y ⟶ A ⟹ X) (g : B ⟶ A),
CategoryTheory.MonoidalClosed.uncurry
(CategoryTheory.CategoryStruct.comp f ((CategoryTheory.MonoidalClosed.pre g).app X)) =
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight g Y)
(CategoryTheory.MonoidalClosed.uncurry f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement and proof · cited by 903
- CategoryTheory.ihomstatement and proof · cited by 179
- CategoryTheory.Closedstatement and proof · cited by 90
- CategoryTheory.MonoidalClosed.uncurrystatement and proof · cited by 46
- CategoryTheory.MonoidalClosed.curryproof · cited by 44
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalClosed.uncurry_pre_app_assocproof · cited by 0