{V : Type u_1} →
  {W : Type u_2} →
    {G : SimpleGraph V} →
      {G' : SimpleGraph W} →
        {s : Set V} →
          {t : Set W} → (φ : G →g G') → Set.MapsTo (⇑φ) s t → SimpleGraph.induce s G →g SimpleGraph.induce t G'