--- a/src/ZF/AC/WO1_WO7.ML Fri Jan 03 10:48:28 1997 +0100
+++ b/src/ZF/AC/WO1_WO7.ML Fri Jan 03 15:01:55 1997 +0100
@@ -12,7 +12,7 @@
goalw thy [WO7_def] "WO7 <-> (ALL X. ~Finite(X) --> \
\ (EX R. well_ord(X,R) & ~well_ord(X,converse(R))))";
-by (fast_tac (ZF_cs addSEs [Finite_well_ord_converse]) 1);
+by (fast_tac (!claset addSEs [Finite_well_ord_converse]) 1);
val WO7_iff_LEMMA = result();
(* ********************************************************************** *)
@@ -24,9 +24,9 @@
by (rtac allI 1);
by (etac allE 1);
by (excluded_middle_tac "Finite(A)" 1);
-by (fast_tac AC_cs 1);
+by (Fast_tac 1);
by (rewrite_goals_tac [Finite_def, eqpoll_def]);
-by (fast_tac (ZF_cs addSIs [[bij_is_inj, nat_implies_well_ord] MRS
+by (fast_tac (!claset addSIs [[bij_is_inj, nat_implies_well_ord] MRS
well_ord_rvimage]) 1);
val LEMMA_imp_WO1 = result();
@@ -50,16 +50,16 @@
by (rtac notI 1);
by (eres_inst_tac [("x","nat")] allE 1);
by (etac disjE 1);
-by (fast_tac (ZF_cs addSDs [nat_0I RSN (2,equals0D)]) 1);
+by (fast_tac (!claset addSDs [nat_0I RSN (2,equals0D)]) 1);
by (etac bexE 1);
by (eres_inst_tac [("x","succ(x)")] allE 1);
-by (fast_tac (ZF_cs addSIs [nat_succI, converseI, MemrelI,
+by (fast_tac (!claset addSIs [nat_succI, converseI, MemrelI,
nat_succI RSN (2, subsetD)]) 1);
val converse_Memrel_not_wf_on = result();
goalw thy [well_ord_def]
"!!a. [| Ord(a); ~Finite(a) |] ==> ~well_ord(a,converse(Memrel(a)))";
-by (fast_tac (ZF_cs addSDs [converse_Memrel_not_wf_on]) 1);
+by (fast_tac (!claset addSDs [converse_Memrel_not_wf_on]) 1);
val converse_Memrel_not_well_ord = result();
goal thy "!!A. [| well_ord(A,r); well_ord(A,converse(r)) |] \