Theorems · Theorem · category theory

CategoryTheory.Functor.currying_functor_map_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]
  {X Y : CategoryTheory.Functor C (CategoryTheory.Functor D E)} (T : X ⟶ Y) (X_1 : C × D),
  (CategoryTheory.Functor.currying.functor.map T).app X_1 = (T.app X_1.1).app X_1.2

Defined in: Mathlib.CategoryTheory.Functor.Currying
Cited by: 0 results in Mathlib
Foundations: Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Category

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CategoryTheory.Functor.curryingstatement and proof · cited by 16

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