diff -r f04b33ce250f -r a4dc62a46ee4 ex/rel.ML
--- a/ex/rel.ML	Tue Oct 24 14:59:17 1995 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,109 +0,0 @@
-(*  Title: 	HOL/ex/rel
-    ID:         $Id$
-    Author: 	Lawrence C Paulson, Cambridge University Computer Laboratory
-    Copyright   1991  University of Cambridge
-
-Domain, range of a relation or function -- NOT YET WORKING
-*)
-
-structure Rel =
-struct
-val thy = extend_theory Univ.thy "Rel"
-([], [], [], [],
- [ 
-  (["domain"],	"('a * 'b)set => 'a set"),
-  (["range2"],	"('a * 'b)set => 'b set"),
-  (["field"],	"('a * 'a)set => 'a set")
- ],
- None)
- [
-  ("domain_def",     "domain(r) == {a. ? b. <a,b> : r}" ),
-  ("range2_def",     "range2(r) == {b. ? a. <a,b> : r}" ),
-  ("field_def",      "field(r)  == domain(r) Un range2(r)" )
- ];
-end;
-
-local val ax = get_axiom Rel.thy
-in
-val domain_def = ax"domain_def";
-val range2_def = ax"range2_def";
-val field_def = ax"field_def";
-end;
-
-
-(*** domain ***)
-
-val [prem] = goalw Rel.thy [domain_def,Pair_def] "<a,b>: r ==> a : domain(r)";
-by (fast_tac (set_cs addIs [prem]) 1);
-qed "domainI";
-
-val major::prems = goalw Rel.thy [domain_def]
-    "[| a : domain(r);  !!y. <a,y>: r ==> P |] ==> P";
-by (rtac (major RS CollectE) 1);
-by (etac exE 1);
-by (REPEAT (ares_tac prems 1));
-qed "domainE";
-
-
-(*** range2 ***)
-
-val [prem] = goalw Rel.thy [range2_def,Pair_def] "<a,b>: r ==> b : range2(r)";
-by (fast_tac (set_cs addIs [prem]) 1);
-qed "range2I";
-
-val major::prems = goalw Rel.thy [range2_def]
-    "[| b : range2(r);  !!x. <x,b>: r ==> P |] ==> P";
-by (rtac (major RS CollectE) 1);
-by (etac exE 1);
-by (REPEAT (ares_tac prems 1));
-qed "range2E";
-
-
-(*** field ***)
-
-val [prem] = goalw Rel.thy [field_def] "<a,b>: r ==> a : field(r)";
-by (rtac (prem RS domainI RS UnI1) 1);
-qed "fieldI1";
-
-val [prem] = goalw Rel.thy [field_def] "<a,b>: r ==> b : field(r)";
-by (rtac (prem RS range2I RS UnI2) 1);
-qed "fieldI2";
-
-val [prem] = goalw Rel.thy [field_def]
-    "(~ <c,a>:r ==> <a,b>: r) ==> a : field(r)";
-by (rtac (prem RS domainI RS UnCI) 1);
-by (swap_res_tac [range2I] 1);
-by (etac notnotD 1);
-qed "fieldCI";
-
-val major::prems = goalw Rel.thy [field_def]
-     "[| a : field(r);  \
-\        !!x. <a,x>: r ==> P;  \
-\        !!x. <x,a>: r ==> P        |] ==> P";
-by (rtac (major RS UnE) 1);
-by (REPEAT (eresolve_tac (prems@[domainE,range2E]) 1));
-qed "fieldE";
-
-goalw Rel.thy [field_def] "domain(r) <= field(r)";
-by (rtac Un_upper1 1);
-qed "domain_in_field";
-
-goalw Rel.thy [field_def] "range2(r) <= field(r)";
-by (rtac Un_upper2 1);
-qed "range2_in_field";
-
-
-????????????????????????????????????????????????????????????????;
-
-(*If r allows well-founded induction then wf(r)*)
-val [prem1,prem2] = goalw Rel.thy [wf_def] 
-    "[| field(r)<=A;  \
-\       !!P u. ! x:A. (! y. <y,x>: r --> P(y)) --> P(x) ==> P(u) |]  \
-\    ==>  wf(r)";
-by (rtac (prem1 RS wfI) 1);
-by (res_inst_tac [ ("B", "A-Z") ] (prem2 RS subsetCE) 1);
-by (fast_tac ZF_cs 3);
-by (fast_tac ZF_cs 2);
-by (fast_tac ZF_cs 1);
-qed "wfI2";
-