src/HOLCF/Discrete.ML

-(*  Title:      HOLCF/Discrete.ML
-    ID:         $Id$
-    Author:     Tobias Nipkow
-*)
-
-Goalw [undiscr_def] "undiscr(Discr x) = x";
-by (Simp_tac 1);
-qed "undiscr_Discr";
-Addsimps [undiscr_Discr];
-
-Goal
- "!!S::nat=>('a::type)discr. chain(S) ==> range(%i. f(S i)) = {f(S 0)}";
-by (fast_tac (claset() addDs [discr_chain0] addEs [arg_cong]) 1);
-qed "discr_chain_f_range0";
-
-Goalw [cont,is_lub_def,is_ub_def] "cont(%x::('a::type)discr. f x)";
-by (simp_tac (simpset() addsimps [discr_chain_f_range0]) 1);
-qed "cont_discr";
-AddIffs [cont_discr];