Theorems · Theorem · category theory

CategoryTheory.MonoidalClosed.ihomCurryIso_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] (x y z : C)
  [inst_2 : CategoryTheory.Closed x] [inst_3 : CategoryTheory.Closed y]
  [inst_4 : CategoryTheory.Closed (CategoryTheory.MonoidalCategoryStruct.tensorObj x y)],
  (CategoryTheory.MonoidalClosed.ihomCurryIso x y z).inv = CategoryTheory.MonoidalClosed.ihomUncurry x y z

Defined in: Mathlib.CategoryTheory.Monoidal.Closed.InternalCurrying
Cited by: 0 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.Closed CategoryTheory.Closed CategoryTheory.Closed

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Iso.invstatement and proof · cited by 6,514
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.ihomstatement · cited by 179
CategoryTheory.Closedstatement and proof · cited by 90
CategoryTheory.MonoidalClosed.ihomUncurrystatement · cited by 6
CategoryTheory.MonoidalClosed.ihomCurryIsostatement and proof · cited by 2

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