Theorems · Theorem · category theory
CategoryTheory.MonoidalClosed.uncurry_curry
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {A X Y : C}
[inst_2 : CategoryTheory.Closed A] (f : CategoryTheory.MonoidalCategoryStruct.tensorObj A X ⟶ Y),
CategoryTheory.MonoidalClosed.uncurry (CategoryTheory.MonoidalClosed.curry f) = f- Cited by
- 15 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.
Cites10
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.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Adjunction.homEquivproof · cited by 202
- CategoryTheory.Closedstatement and proof · cited by 90
- Equiv.left_invproof · cited by 59
- CategoryTheory.MonoidalClosed.uncurrystatement · cited by 46
- CategoryTheory.MonoidalClosed.currystatement · cited by 44
- CategoryTheory.Closed.adjproof · cited by 7
Cited by15
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalClosed.whiskerLeft_curry'_compproof · cited by 3
- CategoryTheory.Over.sectionsUncurry_sectionsCurryproof · cited by 2
- CategoryTheory.MonoidalClosed.curry'_whiskerRight_compproof · cited by 2
- CategoryTheory.MonoidalClosed.uncurry_ihomUncurryproof · cited by 2
- CategoryTheory.MonoidalClosed.curry_pre_appproof · cited by 2
- CategoryTheory.MonoidalClosed.uncurry_uncurry_ihomCurryproof · cited by 2
- CategoryTheory.MonoidalClosed.id_compproof · cited by 1
- CategoryTheory.bijection_symm_apply_idproof · cited by 1
- CategoryTheory.MonoidalClosed.uncurry_ihomCurryproof · cited by 1
- CategoryTheory.MonoidalClosed.assocproof · cited by 1
- CategoryTheory.MonoidalClosed.comp_idproof · cited by 1
- CategoryTheory.toUnit_comp_curryRightUnitorHomproof · cited by 0