equal
deleted
inserted
replaced
5 |
5 |
6 Proves that 'a discr is a po |
6 Proves that 'a discr is a po |
7 *) |
7 *) |
8 |
8 |
9 goalw thy [less_discr_def] "less (x::('a::term)discr) x"; |
9 goalw thy [less_discr_def] "less (x::('a::term)discr) x"; |
10 br refl 1; |
10 by (rtac refl 1); |
11 qed "less_discr_refl"; |
11 qed "less_discr_refl"; |
12 |
12 |
13 goalw thy [less_discr_def] |
13 goalw thy [less_discr_def] |
14 "!!x. [| less (x::('a::term)discr) y; less y z |] ==> less x z"; |
14 "!!x. [| less (x::('a::term)discr) y; less y z |] ==> less x z"; |
15 be trans 1; |
15 by (etac trans 1); |
16 ba 1; |
16 by (assume_tac 1); |
17 qed "less_discr_trans"; |
17 qed "less_discr_trans"; |
18 |
18 |
19 goalw thy [less_discr_def] |
19 goalw thy [less_discr_def] |
20 "!!x. [| less (x::('a::term)discr) y; less y x |] ==> x=y"; |
20 "!!x. [| less (x::('a::term)discr) y; less y x |] ==> x=y"; |
21 ba 1; |
21 by (assume_tac 1); |
22 qed "less_discr_antisym"; |
22 qed "less_discr_antisym"; |