no goals
C : Type u
inst✝² : Category C
f g : Arrow C
inst✝¹ : HasImage f.hom
inst✝ : HasImage g.hom
sq : f ⟶ g
m : ImageMap sq
⊢ (factorThruImage f.hom ≫ m.map) ≫ image.ι g.hom = (sq.left ≫ factorThruImage g.hom) ≫ image.ι g.hom
simp