isabelle/valid/mathd_algebra_451.thy (16 lines of code) (raw):

(* Authors: Wenda Li *) theory mathd_algebra_451 imports Complex_Main "HOL-Computational_Algebra.Computational_Algebra" begin theorem mathd_algebra_451: fixes \<sigma>:: "real \<Rightarrow> real" assumes "bij \<sigma>" and "inv \<sigma> (-15) = 0" and "inv \<sigma> 0 = 3" and "inv \<sigma> 3 = 9" and "\<sigma> 9 = 20" shows "\<sigma> (\<sigma> 9) = 0" sorry end