exact ⟨_, ⟨_, ⟨_, h1, h3⟩, h4⟩, h5⟩
case cons.mpr.intro.intro.intro.intro
α σ : Type
inst✝¹ : DecidableEq α
inst✝ : DecidableEq σ
M : EpsilonNFA α σ
a : α
as : List α
IH : ∀ (S : List σ), (∃ s ∈ M.eval_from S as, s ∈ M.accepting_state_list) ↔ ∃ s ∈ S, M.toAbstract.eval s as
S : List σ
s : σ
h1 : s ∈ S
h2 : M.toAbstract.eval s (a :: as)
s₁ s₂ : σ
h3 : M.toAbstract.EpsilonClosure s s₂
h4 : M.toAbstract.symbol s₂ a s₁
h5 : M.toAbstract.eval s₁ as
⊢ ∃ s,
    (∃ state, (∃ start_state ∈ S, M.toAbstract.EpsilonClosure start_state state) ∧ M.toAbstract.symbol state a s) ∧
      M.toAbstract.eval s as
no goals