--- a/src/HOL/WF.ML Wed Mar 06 12:19:16 1996 +0100
+++ b/src/HOL/WF.ML Wed Mar 06 12:52:11 1996 +0100
@@ -69,12 +69,12 @@
H_cong to expose the equality*)
goalw WF.thy [cut_def]
"(cut f r x = cut g r x) = (!y. (y,x):r --> f(y)=g(y))";
-by(simp_tac (HOL_ss addsimps [expand_fun_eq]
+by (simp_tac (HOL_ss addsimps [expand_fun_eq]
setloop (split_tac [expand_if])) 1);
qed "cuts_eq";
goalw WF.thy [cut_def] "!!x. (x,a):r ==> (cut f r a)(x) = f(x)";
-by(asm_simp_tac HOL_ss 1);
+by (asm_simp_tac HOL_ss 1);
qed "cut_apply";
(*** is_recfun ***)
@@ -82,7 +82,7 @@
goalw WF.thy [is_recfun_def,cut_def]
"!!f. [| is_recfun r H a f; ~(b,a):r |] ==> f(b) = (@z.True)";
by (etac ssubst 1);
-by(asm_simp_tac HOL_ss 1);
+by (asm_simp_tac HOL_ss 1);
qed "is_recfun_undef";
(*** NOTE! some simplifications need a different finish_tac!! ***)
@@ -129,7 +129,7 @@
by (wf_ind_tac "a" prems 1);
by (res_inst_tac [("f","cut (%y. H (the_recfun r H y) y) r a1")]
is_the_recfun 1);
- by (rewrite_goals_tac [is_recfun_def]);
+ by (rewtac is_recfun_def);
by (rtac (cuts_eq RS ssubst) 1);
by (rtac allI 1);
by (rtac impI 1);