Theorems · Theorem · category theory
CategoryTheory.Functor.flipIsoCurrySwapUncurry_inv_app_app
∀ {C : Type u₂} [inst : CategoryTheory.Category.{v₂, u₂} C] {D : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} D]
{E : Type u₄} [inst_2 : CategoryTheory.Category.{v₄, u₄} E]
(F : CategoryTheory.Functor C (CategoryTheory.Functor D E)) (X : D) (X_1 : C),
(F.flipIsoCurrySwapUncurry.inv.app X).app X_1 = CategoryTheory.CategoryStruct.id ((F.obj X_1).obj X)- Defined in
- Mathlib.CategoryTheory.Functor.Currying
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.flipstatement · cited by 320
- CategoryTheory.Functor.uncurrystatement · cited by 85
- CategoryTheory.Functor.currystatement · cited by 58
- CategoryTheory.Prod.swapstatement · cited by 36
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.