isabelle/valid/mathd_algebra_13.thy (13 lines of code) (raw):

(* Authors: Albert Qiaochu Jiang *) theory mathd_algebra_13 imports Complex_Main begin theorem mathd_algebra_13: fixes a b :: real assumes h0: "\<forall>(x::real). (x-3 \<noteq> 0 \<and> x - 5 \<noteq> 0) \<Longrightarrow> 4 * x / (x^2 - 8 * x + 15) = a / (x-3) + b / (x-5)" shows "a = -6 \<and> b = 10" sorry end