proposition: Lemma information_cant_hurt : cond_entropy PQ <= `H P.
proof: Proof. by rewrite -subR_ge0 -mutual_infoE; exact: mutual_info_ge0. Qed.
imports: mathcomp(all_ssreflect all_algebra fingroup perm matrix) Reals mathcomp(Rstruct) ssrR Reals_ext realType_ext ssr_ext ssralg_ext bigop_ext logb ln_facts fdist jfdist_cond proba binary_entropy_function divergence