proposition: Lemma mpolyC_nat (k : nat) : (k%:R)%:MP = k%:R :> {mpoly R[n]}.
proof: Proof. apply/mpolyP=> i; rewrite mcoeffC mcoeffMn mcoeffC. by rewrite mul1r commr_nat mulr_natr. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path) mathcomp(choice fintype tuple finfun bigop finset binomial) mathcomp(order fingroup perm ssralg zmodp poly ssrint) mathcomp(matrix vector) mathcomp(bigenough) ssrcomplements freeg