proposition: Lemma avgR_oppD p x y : (- x <| p |> - y = - (x <| p |> y))%coqR.
proof: Proof. exact: (@avgr_oppD [lmodType R of R^o]). 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