Theorems · Theorem · category theory

CategoryTheory.Functor.curryingEquiv_apply_obj

∀ {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 : C × D),
  (CategoryTheory.Functor.curryingEquiv F).obj X = (F.obj X.1).obj X.2

Defined in

Mathlib.CategoryTheory.Functor.Currying

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category