Theorems · Theorem · category theory
CategoryTheory.Functor.uncurry_obj_curry_obj
∀ {B : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} B] {C : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} C]
{D : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} D] (F : CategoryTheory.Functor (B × C) D),
CategoryTheory.Functor.uncurry.obj (CategoryTheory.Functor.curry.obj F) = F- Defined in
- Mathlib.CategoryTheory.Functor.Currying
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.eqToHomproof · cited by 860
- CategoryTheory.Functor.map_compproof · cited by 734
- CategoryTheory.Prod.mkHomproof · cited by 108
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.curryingEquivproof · cited by 7
- CategoryTheory.curryingIsoproof · cited by 7
- CategoryTheory.Functor.curry_obj_injectiveproof · cited by 1
- CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.prod_facproof · cited by 0