fact: Fixpoint norm_aux (pe:PExpr C) : Pol := match pe with | PEO => Pc cO | PEI => Pc cI | PEc c => Pc c | PEX _ j => mk_X j | PEadd pe1 (PEopp pe2) => Psub (norm_aux pe1) (norm_aux pe2) | PEadd pe1 pe2 => Padd (norm_aux pe1) (norm_aux pe2) | PEsub pe1 pe2 => Psub (norm_aux pe1) (norm_aux pe2) | PEmul pe1 pe2 => Pmul (norm_aux pe1) (norm_aux pe2) | PEopp pe1 => Popp (norm_aux pe1) | PEpow pe1 n => Ppow_N (fun p => p) (norm_aux pe1) n end.
imports: Setoid BinList BinPos BinNat BinInt Ring_polynom Ncring