Theorems · Theorem · category theory

CategoryTheory.SingleFunctors.postcompFunctor_map_hom

∀ (C : Type u_1) {D : Type u_2} {E : Type u_3} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.Category.{v_3, u_3} E] (A : Type u_5)
  [inst_3 : AddMonoid A] [inst_4 : CategoryTheory.HasShift D A] [inst_5 : CategoryTheory.HasShift E A]
  (G : CategoryTheory.Functor D E) [inst_6 : G.CommShift A] {F₁ F₂ : CategoryTheory.SingleFunctors C D A} (φ : F₁ ⟶ F₂)
  (a : A),
  ((CategoryTheory.SingleFunctors.postcompFunctor C A G).map φ).hom a = CategoryTheory.Functor.whiskerRight (φ.hom a) G

Defined in

Mathlib.CategoryTheory.Shift.SingleFunctors

Cited by

0 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.HasShiftCategoryTheory.Functor.CommShift