rintro ⟨σ,rfl,h⟩
case h.a.mp
ν : Type u_1
s : LawfulState ν
n : ℕ
τ : PropAssignment (ν ⊕ Fin n)
⊢ (∃ σ, τ = PropAssignment.map (State.withTemps.vMap s.toState) σ ∧ σ ⊨ Cnf.toPropFun s.cnf) →
    ∃ σ, PropAssignment.map Sum.inl τ = PropAssignment.map s.vMap σ ∧ σ ⊨ Cnf.toPropFun s.cnf
case h.a.mp.intro.intro
ν : Type u_1
s : LawfulState ν
n : ℕ
σ : PropAssignment IVar
h : σ ⊨ Cnf.toPropFun s.cnf
⊢ ∃ σ_1,
    PropAssignment.map Sum.inl (PropAssignment.map (State.withTemps.vMap s.toState) σ) = PropAssignment.map s.vMap σ_1 ∧
      σ_1 ⊨ Cnf.toPropFun s.cnf