equal
deleted
inserted
replaced
12 Goal |
12 Goal |
13 "!!S::nat=>('a::term)discr. chain(S) ==> range(%i. f(S i)) = {f(S 0)}"; |
13 "!!S::nat=>('a::term)discr. chain(S) ==> range(%i. f(S i)) = {f(S 0)}"; |
14 by (fast_tac (claset() addDs [discr_chain0] addEs [arg_cong]) 1); |
14 by (fast_tac (claset() addDs [discr_chain0] addEs [arg_cong]) 1); |
15 qed "discr_chain_f_range0"; |
15 qed "discr_chain_f_range0"; |
16 |
16 |
17 Goalw [cont,is_lub,is_ub] "cont(%x::('a::term)discr. f x)"; |
17 Goalw [cont,is_lub_def,is_ub_def] "cont(%x::('a::term)discr. f x)"; |
18 by (simp_tac (simpset() addsimps [discr_chain_f_range0]) 1); |
18 by (simp_tac (simpset() addsimps [discr_chain_f_range0]) 1); |
19 qed "cont_discr"; |
19 qed "cont_discr"; |
20 AddIffs [cont_discr]; |
20 AddIffs [cont_discr]; |