case Adj.h.h.a
ι : Sort ?u.208301
V : Type u
W : Type v
G : SimpleGraph V
G' : SimpleGraph W
f : G →g G'
v : V
x✝¹ x✝ : W
⊢ ⊥ → ∃ x, ↑f x = x✝¹ ∧ ∃ x, ↑f x = x✝
ι : Sort ?u.208301
V : Type u
W : Type v
G : SimpleGraph V
G' : SimpleGraph W
f : G →g G'
v : V
⊢ Subgraph.map f (SimpleGraph.singletonSubgraph G v) = SimpleGraph.singletonSubgraph G' (↑f v)
ext <;> simp only [Relation.Map, Subgraph.map_Adj, singletonSubgraph_Adj, Pi.bot_apply,
  exists_and_left, and_iff_left_iff_imp, IsEmpty.forall_iff, Subgraph.map_verts,
  singletonSubgraph_verts, Set.image_singleton]
no goals
case Adj.h.h.a
ι : Sort ?u.208301
V : Type u
W : Type v
G : SimpleGraph V
G' : SimpleGraph W
f : G →g G'
v : V
x✝¹ x✝ : W
⊢ ⊥ → ∃ x, ↑f x = x✝¹ ∧ ∃ x, ↑f x = x✝
exact False.elim