isabelle/valid/algebra_amgm_prod1toneq1_sum1tongeqn.thy (14 lines of code) (raw):
(*
Authors: Wenda Li
*)
theory algebra_amgm_prod1toneq1_sum1tongeqn
imports Complex_Main "HOL-Computational_Algebra.Computational_Algebra"
begin
theorem algebra_amgm_prod1toneq1_sum1tongeqn:
fixes a :: "nat \<Rightarrow> real"
and n :: nat
assumes "\<forall>i. a i \<ge>0"
and "prod a {..<n} = 1"
shows "sum a {..<n} \<ge> n"
sorry
end