Theorems · Theorem · category theory

CategoryTheory.LeftExactFunctor.whiskeringLeft_map_app

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] (D : Type u₂) [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (E : Type u₃) [inst_2 : CategoryTheory.Category.{v₃, u₃} E] {F G : C ⥤ₗ D} (η : F ⟶ G) (H : D ⥤ₗ E),
  ((CategoryTheory.LeftExactFunctor.whiskeringLeft C D E).map η).app H =
    CategoryTheory.ObjectProperty.homMk (((CategoryTheory.Functor.whiskeringLeft C D E).map η.hom).app H.obj)

Defined in

Mathlib.CategoryTheory.Limits.ExactFunctor

Cited by

0 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category