proposition: Lemma avgnrE n (g : 'I_n -> E) e : <|>_e g = avgnr g e.
proof: Proof. rewrite -[LHS]Scaled1rK S1_Convn big_scaler. by apply eq_bigr => i _; rewrite scaler_scalept // Scaled1rK. 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