proposition: Corollary lt_sum_aV_1 (n : nat) : \sum_(0 <= i < n.+1) (a i)%:Q ^-1 < 1.
proof: Proof. by rewrite sum_aV ltr_pdivrMr // mul1r ltrD2l. Qed.
imports: mathcomp(all_ssreflect all_algebra) extra_mathcomp tactics floor arithmetics multinomial