equal
deleted
inserted
replaced
152 |
152 |
153 instance "fun" :: (type, comm_semiring_1) comm_semiring_1 .. |
153 instance "fun" :: (type, comm_semiring_1) comm_semiring_1 .. |
154 |
154 |
155 instance "fun" :: (type, semiring_1_cancel) semiring_1_cancel .. |
155 instance "fun" :: (type, semiring_1_cancel) semiring_1_cancel .. |
156 |
156 |
157 instance "fun" :: (type, comm_semiring_1_cancel) comm_semiring_1_cancel .. |
157 instance "fun" :: (type, comm_semiring_1_cancel) comm_semiring_1_cancel |
|
158 by default (auto simp add: times_fun_def algebra_simps) |
158 |
159 |
159 instance "fun" :: (type, semiring_char_0) semiring_char_0 |
160 instance "fun" :: (type, semiring_char_0) semiring_char_0 |
160 proof |
161 proof |
161 from inj_of_nat have "inj (\<lambda>n (x::'a). of_nat n :: 'b)" |
162 from inj_of_nat have "inj (\<lambda>n (x::'a). of_nat n :: 'b)" |
162 by (rule inj_fun) |
163 by (rule inj_fun) |