src/HOL/Lex/Prefix.ML
changeset 5069 3ea049f7979d
parent 4936 e67949e15255
child 5118 6b995dad8a9d
--- a/src/HOL/Lex/Prefix.ML	Mon Jun 22 17:13:09 1998 +0200
+++ b/src/HOL/Lex/Prefix.ML	Mon Jun 22 17:26:46 1998 +0200
@@ -14,36 +14,36 @@
 
 (** <= is a partial order: **)
 
-goalw thy [prefix_def] "xs <= (xs::'a list)";
+Goalw [prefix_def] "xs <= (xs::'a list)";
 by(Simp_tac 1);
 qed "prefix_refl";
 AddIffs[prefix_refl];
 
-goalw thy [prefix_def] "!!xs::'a list. [| xs <= ys; ys <= zs |] ==> xs <= zs";
+Goalw [prefix_def] "!!xs::'a list. [| xs <= ys; ys <= zs |] ==> xs <= zs";
 by(Clarify_tac 1);
 by(Simp_tac 1);
 qed "prefix_trans";
 
-goalw thy [prefix_def] "!!xs::'a list. [| xs <= ys; ys <= xs |] ==> xs = ys";
+Goalw [prefix_def] "!!xs::'a list. [| xs <= ys; ys <= xs |] ==> xs = ys";
 by(Clarify_tac 1);
 by(Asm_full_simp_tac 1);
 qed "prefix_antisym";
 
 (** recursion equations **)
 
-goalw Prefix.thy [prefix_def] "[] <= xs";
+Goalw [prefix_def] "[] <= xs";
 by (simp_tac (simpset() addsimps [eq_sym_conv]) 1);
 qed "Nil_prefix";
 AddIffs[Nil_prefix];
 
-goalw Prefix.thy [prefix_def] "(xs <= []) = (xs = [])";
+Goalw [prefix_def] "(xs <= []) = (xs = [])";
 by (list.induct_tac "xs" 1);
 by (Simp_tac 1);
 by (Simp_tac 1);
 qed "prefix_Nil";
 Addsimps [prefix_Nil];
 
-goalw thy [prefix_def] "(xs <= ys@[y]) = (xs = ys@[y] | xs <= ys)";
+Goalw [prefix_def] "(xs <= ys@[y]) = (xs = ys@[y] | xs <= ys)";
 br iffI 1;
  be exE 1;
  by(rename_tac "zs" 1);
@@ -59,13 +59,13 @@
 qed "prefix_snoc";
 Addsimps [prefix_snoc];
 
-goalw Prefix.thy [prefix_def] "(x#xs <= y#ys) = (x=y & xs<=ys)";
+Goalw [prefix_def] "(x#xs <= y#ys) = (x=y & xs<=ys)";
 by (Simp_tac 1);
 by (Fast_tac 1);
 qed"Cons_prefix_Cons";
 Addsimps [Cons_prefix_Cons];
 
-goal thy "(xs@ys <= xs@zs) = (ys <= zs)";
+Goal "(xs@ys <= xs@zs) = (ys <= zs)";
 by (induct_tac "xs" 1);
 by(ALLGOALS Asm_simp_tac);
 qed "same_prefix_prefix";
@@ -74,14 +74,14 @@
 AddIffs
  [simplify (simpset()) (read_instantiate [("zs","[]")] same_prefix_prefix)];
 
-goalw thy [prefix_def] "!!xs. xs <= ys ==> xs <= ys@zs";
+Goalw [prefix_def] "!!xs. xs <= ys ==> xs <= ys@zs";
 by(Clarify_tac 1);
 by (Simp_tac 1);
 qed "prefix_prefix";
 Addsimps [prefix_prefix];
 
 (* nicht sehr elegant bewiesen - Induktion eigentlich ueberfluessig *)
-goalw Prefix.thy [prefix_def]
+Goalw [prefix_def]
    "(xs <= y#ys) = (xs=[] | (? zs. xs=y#zs & zs <= ys))";
 by (list.induct_tac "xs" 1);
 by (Simp_tac 1);
@@ -89,7 +89,7 @@
 by (Fast_tac 1);
 qed "prefix_Cons";
 
-goal thy "(xs <= ys@zs) = (xs <= ys | (? us. xs = ys@us & us <= zs))";
+Goal "(xs <= ys@zs) = (xs <= ys | (? us. xs = ys@us & us <= zs))";
 by(res_inst_tac [("xs","zs")] rev_induct 1);
  by(Simp_tac 1);
  by(Blast_tac 1);