equal
deleted
inserted
replaced
156 mult_assoc [symmetric] div_mult_self_is_m [OF 16] by simp |
156 mult_assoc [symmetric] div_mult_self_is_m [OF 16] by simp |
157 have aux4: "(k * 256 + l) mod 16 = l mod 16" |
157 have aux4: "(k * 256 + l) mod 16 = l mod 16" |
158 unfolding 256 mult_assoc [symmetric] mod_mult_self3 .. |
158 unfolding 256 mult_assoc [symmetric] mod_mult_self3 .. |
159 show ?thesis |
159 show ?thesis |
160 by (simp add: nat_of_char.simps char_of_nat_def nibble_of_pair |
160 by (simp add: nat_of_char.simps char_of_nat_def nibble_of_pair |
161 nat_of_nibble_of_nat mod_mult_distrib |
161 nat_of_nibble_of_nat mult_mod_left |
162 n aux3 l_256 aux4 mod_add_eq [of "256 * k"] l_div_256) |
162 n aux3 l_256 aux4 mod_add_eq [of "256 * k"] l_div_256) |
163 qed |
163 qed |
164 |
164 |
165 lemma nibble_pair_of_nat_char: |
165 lemma nibble_pair_of_nat_char: |
166 "nibble_pair_of_nat (nat_of_char (Char n m)) = (n, m)" |
166 "nibble_pair_of_nat (nat_of_char (Char n m)) = (n, m)" |