Fixpoint Fcons1 (e:PExpr C) (l:list (PExpr C)) {struct e} : list (PExpr C) :=
 match e with
 | PEmul e1 e2 => Fcons1 e1 (Fcons1 e2 l)
 | PEpow e _ => Fcons1 e l
 | PEopp e => if (-(1) =? 0)%coef then absurd_PCond else Fcons1 e l
 | PEc c => if (c =? 0)%coef then absurd_PCond else l
 | _ => Fcons0 e l
 end.

Theorem PFcons1_fcons_inv: forall l a l1, PCond l (Fcons1 a l1) -> ~ a @ l == 0 /\ PCond l l1.