simp only [Prop.bot_eq_false, Subgraph.coe_adj, Pi.bot_apply, bot_adj, iff_self_iff,
  forall₂_true_iff]
α : Type u_1
β : Type u_2
γ : Type u_3
G G₁ G₂ G₃ : SimpleGraph α
H✝ : SimpleGraph β
I : SimpleGraph γ
inst✝ : Fintype β
H : SimpleGraph β
⊢ ∀ {a b : β},
    { verts := Set.univ, Adj := ⊥, adj_sub := ⋯, edge_vert := ⋯, symm := ⋯ }.coe.Adj ((Equiv.Set.univ β).symm a)
        ((Equiv.Set.univ β).symm b) ↔
      ⊥.Adj a b
no goals