(*
  Authors: Wenda Li
*)

theory induction_1pxpownlt1pnx 
  imports Complex_Main "HOL-Computational_Algebra.Computational_Algebra"
  "HOL-Number_Theory.Number_Theory"
begin

theorem induction_1pxpownlt1pnx:
  fixes x :: real and n :: nat
  assumes "-1 < x"
  shows "(1 + n*x) \<le> (1 + x)^n"
  by sorry

end