proposition: Lemma poweR0r r : r != 0%R -> 0 `^ r = 0.
proof: Proof. by move=> r0; rewrite poweR_EFin powR0. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum matrix) mathcomp(interval rat) mathcomp(boolp classical_sets functions) mathcomp(mathcomp_extra) reals ereal signed topology normedtype landau sequences derive realfun itv convex