Theorems · Theorem · category theory
CategoryTheory.MonoidalClosed.curry_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 : CategoryTheory.MonoidalCategoryStruct.tensorObj A Y ⟶ X),
CategoryTheory.MonoidalClosed.curry g =
CategoryTheory.CategoryStruct.comp ((CategoryTheory.ihom.coev A).app Y) ((CategoryTheory.ihom A).map g)- Cited by
- 1 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 · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.mapstatement · cited by 8,698
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.ihomstatement · cited by 179
- CategoryTheory.MonoidalCategory.tensorLeftstatement · cited by 170
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalClosed.curry_id_eq_coevproof · cited by 0