proposition: Lemma poweRe0 x : x `^ 0 = 1.
proof: Proof. by move: x => [x'| |]/=; rewrite ?powRr0// eqxx. 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