diff options
Diffstat (limited to 'lib/isabelle/Sail_values_extras.thy')
| -rw-r--r-- | lib/isabelle/Sail_values_extras.thy | 52 |
1 files changed, 0 insertions, 52 deletions
diff --git a/lib/isabelle/Sail_values_extras.thy b/lib/isabelle/Sail_values_extras.thy deleted file mode 100644 index 66bcba48..00000000 --- a/lib/isabelle/Sail_values_extras.thy +++ /dev/null @@ -1,52 +0,0 @@ -theory Sail_values_extras - imports Sail_values -begin - -termination reverse_endianness_list by (lexicographic_order simp add: drop_list_def) - -termination index_list - by (relation "measure (\<lambda>(i, j, step). nat ((j - i + step) * sgn step))") auto - -lemma just_list_map_Some[simp]: "just_list (map Some v) = Some v" by (induction v) auto - -lemma just_list_None_iff[simp]: "just_list xs = None \<longleftrightarrow> None \<in> set xs" - by (induction xs) (auto split: option.splits) - -lemma just_list_Some_iff[simp]: "just_list xs = Some ys \<longleftrightarrow> xs = map Some ys" - by (induction xs arbitrary: ys) (auto split: option.splits) - -lemma just_list_cases: - assumes "just_list xs = y" - obtains (None) "None \<in> set xs" and "y = None" - | (Some) ys where "xs = map Some ys" and "y = Some ys" - using assms by (cases y) auto - -abbreviation "BC_bitU_list \<equiv> instance_Sail_values_Bitvector_list_dict instance_Sail_values_BitU_Sail_values_bitU_dict" -lemmas BC_bitU_list_def = instance_Sail_values_Bitvector_list_dict_def instance_Sail_values_BitU_Sail_values_bitU_dict_def -abbreviation "BC_mword \<equiv> instance_Sail_values_Bitvector_Machine_word_mword_dict" -lemmas BC_mword_def = instance_Sail_values_Bitvector_Machine_word_mword_dict_def - -lemma image_bitU_of_bool_B0_B1: "bitU_of_bool ` bs \<subseteq> {B0, B1}" - by (auto simp: bitU_of_bool_def split: if_splits) - -lemma bool_of_bitU_bitU_of_bool[simp]: "bool_of_bitU \<circ> bitU_of_bool = id" - by (intro ext) (auto simp: bool_of_bitU_def bitU_of_bool_def) - -lemma nat_of_bits_aux_bl_to_bin_aux: - assumes "set bs \<subseteq> {B0, B1}" - shows "nat_of_bits_aux acc bs = nat (bl_to_bin_aux (map bool_of_bitU bs) (int acc))" - by (use assms in \<open>induction acc bs rule: nat_of_bits_aux.induct\<close>) - (auto simp: Bit_def bool_of_bitU_def intro!: arg_cong[where f = nat] arg_cong2[where f = bl_to_bin_aux]) - -lemma nat_of_bits_bl_to_bin[simp]: "nat_of_bits (map bitU_of_bool bs) = nat (bl_to_bin bs)" - by (auto simp: nat_of_bits_def bl_to_bin_def nat_of_bits_aux_bl_to_bin_aux image_bitU_of_bool_B0_B1) - -lemma unsigned_bits_of_mword: - "unsigned_method BC_bitU_list (bits_of_method BC_mword a) = unsigned_method BC_mword a" - by (auto simp: BC_bitU_list_def BC_mword_def unsigned_of_bits_def) - -lemma unsigned_bits_of_bitU_list: - "unsigned_method BC_bitU_list (bits_of_method BC_bitU_list a) = unsigned_method BC_bitU_list a" - by (auto simp: BC_bitU_list_def) - -end |
