isabelle/valid/amc12a_2009_p9.thy (14 lines of code) (raw):

(* Authors: Albert Qiaochu Jiang *) theory amc12a_2009_p9 imports Complex_Main begin theorem amc12a_2009_p9: fixes a b c::real and f::"real \<Rightarrow> real" assumes h0:"\<forall> x. f (x+3) = 3 * x^2 + 7*x + 4" and h1:"\<forall> x. f x = a * x^2 + b * x + c" shows "a+b+c=2" sorry end