proposition: Lemma avgr_oppD p (x y : E) : - x <| p |> - y = - (x <| p |> y).
proof: Proof. by rewrite avgrE 2!scalerN -opprD. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg fingroup perm matrix) mathcomp(mathcomp_extra boolp classical_sets Rstruct) mathcomp(ssrnum ereal) mathcomp(lra Rstruct reals) Reals ssrR Reals_ext Ranalysis_ext ssr_ext ssralg_ext logb realType_ext fdist