--- a/src/LK/ex/hardquant.ML Fri Oct 21 09:47:02 1994 +0100
+++ b/src/LK/ex/hardquant.ML Fri Oct 21 09:51:01 1994 +0100
@@ -188,17 +188,18 @@
\ (ALL x z. ~P(x,z) --> (EX y. Q(y,z))) & \
\ ((EX x y. Q(x,y)) --> (ALL x. R(x,x))) \
\ --> (ALL x. EX y. R(x,y))";
-by (pc_tac LK_pack 1); (*slow*)
-by flexflex_tac;
+by (pc_tac LK_pack 1);
result();
-writeln"Problem 38. NOT PROVED";
+writeln"Problem 38";
goal LK.thy
"|- (ALL x. p(a) & (p(x) --> (EX y. p(y) & r(x,y))) --> \
\ (EX z. EX w. p(z) & r(x,w) & r(w,z))) <-> \
\ (ALL x. (~p(a) | p(x) | (EX z. EX w. p(z) & r(x,w) & r(w,z))) & \
\ (~p(a) | ~(EX y. p(y) & r(x,y)) | \
\ (EX z. EX w. p(z) & r(x,w) & r(w,z))))";
+by (pc_tac LK_pack 1);
+result();
writeln"Problem 39";
goal LK.thy "|- ~ (EX x. ALL y. F(y,x) <-> ~F(y,y))";