src/ZF/Cardinal.ML
changeset 8183 344888de76c4
parent 8127 68c6159440f1
child 9099 f713ef362ad0
equal deleted inserted replaced
8182:1ffd9ec37239 8183:344888de76c4
   515 by (asm_simp_tac (simpset() addsimps [lesspoll_def]) 1);
   515 by (asm_simp_tac (simpset() addsimps [lesspoll_def]) 1);
   516 qed "lepoll_succ_disj";
   516 qed "lepoll_succ_disj";
   517 
   517 
   518 Goalw [lesspoll_def] "[| A lesspoll i; Ord(i) |] ==> |A| < i";
   518 Goalw [lesspoll_def] "[| A lesspoll i; Ord(i) |] ==> |A| < i";
   519 by (Clarify_tac 1);
   519 by (Clarify_tac 1);
   520 by (forward_tac [lepoll_cardinal_le] 1);
   520 by (ftac lepoll_cardinal_le 1);
   521 by (assume_tac 1);
   521 by (assume_tac 1);
   522 by (blast_tac (claset() addIs [well_ord_Memrel,
   522 by (blast_tac (claset() addIs [well_ord_Memrel,
   523 			       well_ord_cardinal_eqpoll RS eqpoll_sym]
   523 			       well_ord_cardinal_eqpoll RS eqpoll_sym]
   524                         addDs [lepoll_well_ord] 
   524                         addDs [lepoll_well_ord] 
   525                         addSEs [leE]) 1);
   525                         addSEs [leE]) 1);