src/HOL/BNF_LFP.thy

   unfolding rel_fun_def by simp
 
 lemma ssubst_Pair_rhs: "\<lbrakk>(r, s) \<in> R; s' = s\<rbrakk> \<Longrightarrow> (r, s') \<in> R"
   by (rule ssubst)
 
-lemma fun_cong_unused_0: "f = (\<lambda>x. g) \<Longrightarrow> f (\<lambda>x. 0) = g"
-  by (erule arg_cong)
-
-lemma snd_o_convol: "(snd \<circ> (\<lambda>x. (f x, g x))) = g"
-  by (rule ext) simp
-
-lemma inj_on_convol_id: "inj_on (\<lambda>x. (x, f x)) X"
-  unfolding inj_on_def by simp
-
-lemma case_prod_app: "case_prod f x y = case_prod (\<lambda>l r. f l r y) x"
-  by (case_tac x) simp
-
-lemma case_sum_o_map_sum: "case_sum l r (map_sum f g x) = case_sum (l \<circ> f) (r \<circ> g) x"
-  by (case_tac x) simp+
-
-lemma case_prod_o_map_prod: "case_prod h (map_prod f g x) = case_prod (\<lambda>l r. h (f l) (g r)) x"
-  by (case_tac x) simp+
-
-lemma prod_inj_map: "inj f \<Longrightarrow> inj g \<Longrightarrow> inj (map_prod f g)"
-  by (simp add: inj_on_def)
-
 ML_file "Tools/BNF/bnf_lfp_util.ML"
 ML_file "Tools/BNF/bnf_lfp_tactics.ML"
 ML_file "Tools/BNF/bnf_lfp.ML"
 ML_file "Tools/BNF/bnf_lfp_compat.ML"
 ML_file "Tools/BNF/bnf_lfp_rec_sugar_more.ML"
 
-
-subsection {* Size of a datatype value *}
-
-ML_file "Tools/BNF/bnf_lfp_size.ML"
-ML_file "Tools/Function/size.ML"
-setup Size.setup
-
-lemma size_bool[code]: "size (b\<Colon>bool) = 0"
-  by (cases b) auto
-
-lemma nat_size[simp, code]: "size (n\<Colon>nat) = n"
-  by (induct n) simp_all
-
-declare prod.size[no_atp]
-
-lemma sum_size_o_map: "sum_size g1 g2 \<circ> map_sum f1 f2 = sum_size (g1 \<circ> f1) (g2 \<circ> f2)"
-  by (rule ext) (case_tac x, auto)
-
-lemma prod_size_o_map: "prod_size g1 g2 \<circ> map_prod f1 f2 = prod_size (g1 \<circ> f1) (g2 \<circ> f2)"
-  by (rule ext) auto
-
-setup {*
-BNF_LFP_Size.register_size @{type_name sum} @{const_name sum_size} @{thms sum.size}
-  @{thms sum_size_o_map}
-#> BNF_LFP_Size.register_size @{type_name prod} @{const_name prod_size} @{thms prod.size}
-  @{thms prod_size_o_map}
-*}
-
 hide_fact (open) id_transfer
 
+datatype_new 'a x = X 'a
+
 end