Remark lem_redln_cons_gen :
 forall (aP R Q : list (poly A0 eqA ltM)) (a b : poly A0 eqA ltM),
 In a aP ->
 In b aP ->
 redIn a b aP Q R ->
 forall (c : poly A0 eqA ltM) (Q1 : list (poly A0 eqA ltM)),
 incl
   (addEnd A A0 eqA n ltM
      (nf A A0 A1 eqA plusA invA minusA multA divA cs eqA_dec n ltM ltM_dec
         os c aP) aP) R ->
 Q = c :: Q1 ->
 redIn a b
   (addEnd A A0 eqA n ltM
      (nf A A0 A1 eqA plusA invA minusA multA divA cs eqA_dec n ltM ltM_dec
         os c aP) aP) Q1 R.

Theorem genOCp_redln : forall aL1 R : list (poly A0 eqA ltM), incl aL1 R -> forall a b : poly A0 eqA ltM, In a aL1 -> In b aL1 -> redIn a b aL1 (genOCPf aL1) R.