Theorems · Theorem · category theory
CategoryTheory.MonoidalClosed.uncurry_natural_right
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {A X Y Y' : C}
[inst_2 : CategoryTheory.Closed A] (f : X ⟶ A ⟹ Y) (g : Y ⟶ Y'),
CategoryTheory.MonoidalClosed.uncurry (CategoryTheory.CategoryStruct.comp f ((CategoryTheory.ihom A).map g)) =
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalClosed.uncurry f) g- Cited by
- 4 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Functor.mapstatement · cited by 8,698
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.ihomstatement and proof · cited by 179
- CategoryTheory.Closedstatement and proof · cited by 90
- CategoryTheory.MonoidalClosed.uncurrystatement · cited by 46
- CategoryTheory.ihom.adjunctionproof · cited by 31
- CategoryTheory.Adjunction.homEquiv_naturality_right_symmproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.bijection_naturalproof · cited by 1
- CategoryTheory.MonoidalClosed.uncurry_natural_right_assocproof · cited by 0