∀ {V : Type u₁} {inst : Quiver V} {W : Type u₂} {inst_1 : Quiver W} {obj : V → W}
  {map : {X Y : V} → (X ⟶ Y) → (obj X ⟶ obj Y)} {obj_1 : V → W} {map_1 : {X Y : V} → (X ⟶ Y) → (obj_1 X ⟶ obj_1 Y)},
  { obj := obj, map := map } = { obj := obj_1, map := map_1 } → obj = obj_1 ∧ map ≍ map_1