simp
case h.left.h.inl.h
ν : Type u_1
s : LawfulState ν
n : ℕ
σ σ' : PropAssignment IVar
h1 :
  PropAssignment.map Sum.inl (PropAssignment.map (⇑{ toFun := State.withTemps.vMap s.toState, inj' := ⋯ }) σ') =
    PropAssignment.map s.vMap σ
v : ν
⊢ s.vMap v ∉ Finset.image (fun x => { val := ↑s.nextVar + ↑x, property := ⋯ }) Finset.univ
case h.left.h.inl.h
ν : Type u_1
s : LawfulState ν
n : ℕ
σ σ' : PropAssignment IVar
h1 :
  PropAssignment.map Sum.inl (PropAssignment.map (⇑{ toFun := State.withTemps.vMap s.toState, inj' := ⋯ }) σ') =
    PropAssignment.map s.vMap σ
v : ν
⊢ ∀ (x : Fin n), ¬{ val := ↑s.nextVar + ↑x, property := ⋯ } = s.vMap v