Theorems · Theorem · category theory
CategoryTheory.MonoidalClosed.uncurry_eq
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {A X Y : C}
[inst_2 : CategoryTheory.Closed A] (g : Y ⟶ A ⟹ X),
CategoryTheory.MonoidalClosed.uncurry g =
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft A g)
((CategoryTheory.ihom.ev A).app X)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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 · cited by 17,999
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftstatement · cited by 915
- CategoryTheory.ihomstatement and proof · cited by 179
- CategoryTheory.MonoidalCategory.tensorLeftstatement · cited by 170
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalClosed.uncurry_id_eq_evproof · cited by 6
- CategoryTheory.MonoidalClosed.curry_pre_appproof · cited by 2
- CategoryTheory.MonoidalClosed.id_compproof · cited by 1
- CategoryTheory.MonoidalClosed.ihomCurry_ihomUncurryproof · cited by 1
- CategoryTheory.MonoidalClosed.ihomUncurry_ihomCurryproof · cited by 1
- CategoryTheory.MonoidalClosed.assocproof · cited by 1
- CategoryTheory.MonoidalClosed.uncurry_preproof · cited by 1
- CategoryTheory.uncurry_expComparisonproof · cited by 0