simpset_ref() := LCF_ss; Addsimps [F_strict,K]; Goal "ALL x. F(H(x::'a,y::'b)) = H(x,F(y))"; by (stac H 1); by (induct_tac "K::('a=>'b=>'b)=>('a=>'b=>'b)" 1); by (Simp_tac 1); by (asm_simp_tac (simpset() setloop (split_tac [COND_cases_iff])) 1); qed "example";