isabelle/valid/numbertheory_xsqpysqintdenomeq.thy (13 lines of code) (raw):
(*
Authors: Wenda Li
*)
theory numbertheory_xsqpysqintdenomeq
imports Complex_Main "HOL-Computational_Algebra.Computational_Algebra"
"HOL-Number_Theory.Number_Theory"
begin
theorem numbertheory_xsqpysqintdenomeq:
fixes x y :: rat
assumes "snd (quotient_of (x^2 + y^2)) = 1"
shows "snd (quotient_of x) = snd (quotient_of y)"
sorry
end