Theorems · Definition · category theory

CategoryTheory.Functor.currying

{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] →
            CategoryTheory.Functor C (CategoryTheory.Functor D E) ≌ CategoryTheory.Functor (C × D) E

The equivalence of functor categories given by currying/uncurrying.

Defined in

Mathlib.CategoryTheory.Functor.Currying

Cited by

16 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category