equal
deleted
inserted
replaced
297 is \<open>drop_bit\<close> . |
297 is \<open>drop_bit\<close> . |
298 |
298 |
299 instance by (standard; transfer) |
299 instance by (standard; transfer) |
300 (fact bit_eq_rec bit_induct push_bit_eq_mult drop_bit_eq_div |
300 (fact bit_eq_rec bit_induct push_bit_eq_mult drop_bit_eq_div |
301 bits_div_0 bits_div_by_1 bit_mod_div_trivial even_succ_div_2 |
301 bits_div_0 bits_div_by_1 bit_mod_div_trivial even_succ_div_2 |
302 div_exp_eq mod_exp_eq mult_exp_mod_exp_eq div_exp_mod_exp_eq)+ |
302 exp_div_exp_eq div_exp_eq mod_exp_eq mult_exp_mod_exp_eq div_exp_mod_exp_eq)+ |
303 |
303 |
304 end |
304 end |
305 |
305 |
306 lemma [transfer_rule]: |
306 lemma [transfer_rule]: |
307 "rel_fun (=) (rel_fun pcr_integer pcr_integer) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> int) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> integer)" |
307 "rel_fun (=) (rel_fun pcr_integer pcr_integer) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> int) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> integer)" |
993 is \<open>drop_bit\<close> . |
993 is \<open>drop_bit\<close> . |
994 |
994 |
995 instance by (standard; transfer) |
995 instance by (standard; transfer) |
996 (fact bit_eq_rec bit_induct push_bit_eq_mult drop_bit_eq_div |
996 (fact bit_eq_rec bit_induct push_bit_eq_mult drop_bit_eq_div |
997 bits_div_0 bits_div_by_1 bit_mod_div_trivial even_succ_div_2 |
997 bits_div_0 bits_div_by_1 bit_mod_div_trivial even_succ_div_2 |
998 div_exp_eq mod_exp_eq mult_exp_mod_exp_eq div_exp_mod_exp_eq)+ |
998 exp_div_exp_eq div_exp_eq mod_exp_eq mult_exp_mod_exp_eq div_exp_mod_exp_eq)+ |
999 |
999 |
1000 end |
1000 end |
1001 |
1001 |
1002 lemma [transfer_rule]: |
1002 lemma [transfer_rule]: |
1003 "rel_fun (=) (rel_fun pcr_natural pcr_natural) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> nat) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> natural)" |
1003 "rel_fun (=) (rel_fun pcr_natural pcr_natural) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> nat) (take_bit :: _ \<Rightarrow> _ \<Rightarrow> natural)" |