fact: Definition ax_bary_part := forall n m (d : {fdist 'I_n}) (e : 'I_n -> {fdist 'I_m}) (g : 'I_m -> T), (forall i j, i != j -> fdist_supp (e i) :&: fdist_supp (e j) = finset.set0) -> <&>_d (fun i => <&>_(e i) g) = <&>_(fdist_convn d e) g.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum fingroup perm matrix) mathcomp(mathcomp_extra boolp classical_sets) Reals mathcomp(Rstruct reals) ssrR Reals_ext realType_ext Ranalysis_ext ssr_ext ssralg_ext fdist jfdist_cond fsdist convex