C : Type u_4
inst✝⁴ : Category C
inst✝³ : Preadditive C
X✝ : SimplicialObject C
D : Type u_1
inst✝² : Category D
inst✝¹ : Preadditive D
G : C ⥤ D
inst✝ : Functor.Additive G
X : SimplicialObject C
q n : ℕ
⊢ G.map (𝟙 (X.obj [n].op)) = 𝟙 ((((whiskering C D).obj G).obj X).obj [n].op)
C : Type u_4
inst✝⁴ : Category C
inst✝³ : Preadditive C
X✝ : SimplicialObject C
D : Type u_1
inst✝² : Category D
inst✝¹ : Preadditive D
G : C ⥤ D
inst✝ : Functor.Additive G
X : SimplicialObject C
q n : ℕ
⊢ G.map (HomologicalComplex.Hom.f (Q q) n) = HomologicalComplex.Hom.f (Q q) n
rw [← add_right_inj (G.map ((P q : K[X] ⟶ _).f n)), ← G.map_add, map_P G X q n, P_add_Q_f,
  P_add_Q_f]
no goals
C : Type u_4
inst✝⁴ : Category C
inst✝³ : Preadditive C
X✝ : SimplicialObject C
D : Type u_1
inst✝² : Category D
inst✝¹ : Preadditive D
G : C ⥤ D
inst✝ : Functor.Additive G
X : SimplicialObject C
q n : ℕ
⊢ G.map (𝟙 (X.obj [n].op)) = 𝟙 ((((whiskering C D).obj G).obj X).obj [n].op)
apply G.map_id