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