equal
deleted
inserted
replaced
37 by (resolve_tac [ballI] 1); |
37 by (resolve_tac [ballI] 1); |
38 by (eresolve_tac [domainE] 1); |
38 by (eresolve_tac [domainE] 1); |
39 by (resolve_tac [ex1I] 1 THEN (atac 1)); |
39 by (resolve_tac [ex1I] 1 THEN (atac 1)); |
40 by (resolve_tac [excluded_middle RS disjE] 1 THEN (atac 2)); |
40 by (resolve_tac [excluded_middle RS disjE] 1 THEN (atac 2)); |
41 by (fast_tac (ZF_cs addSEs [lepoll_trans RS succ_lepoll_natE, |
41 by (fast_tac (ZF_cs addSEs [lepoll_trans RS succ_lepoll_natE, |
42 diff_sing_lepoll RSN (2, lepoll_m_imp_domain_lepoll_m)] |
42 Diff_sing_lepoll RSN (2, lepoll_m_imp_domain_lepoll_m)] |
43 addEs [not_sym RSN (2, domain_diff_eq_domain) RS subst]) 1); |
43 addEs [not_sym RSN (2, domain_diff_eq_domain) RS subst]) 1); |
44 val rel_domain_ex1 = result(); |
44 val rel_domain_ex1 = result(); |
45 |
45 |
46 goal ZF.thy "!! r. [| ALL a:A. EX! b. <a,b> : r; r<=A*B |] \ |
46 goal ZF.thy "!! r. [| ALL a:A. EX! b. <a,b> : r; r<=A*B |] \ |
47 \ ==> r = (lam a:A. THE b. <a,b> : r)"; |
47 \ ==> r = (lam a:A. THE b. <a,b> : r)"; |