--- a/src/HOL/AxClasses/Lattice/LatMorph.ML Wed Nov 05 13:14:15 1997 +0100
+++ b/src/HOL/AxClasses/Lattice/LatMorph.ML Wed Nov 05 13:23:46 1997 +0100
@@ -5,49 +5,49 @@
(** monotone functions vs. "&&"- / "||"-semi-morphisms **)
goalw thy [is_mono_def] "is_mono f = (ALL x y. f (x && y) [= f x && f y)";
- by (safe_tac (claset()));
+ by Safe_tac;
(*==> (level 1)*)
by (stac le_inf_eq 1);
- br conjI 1;
+ by (rtac conjI 1);
by (Step_tac 1);
by (Step_tac 1);
- be mp 1;
- br inf_lb1 1;
+ by (etac mp 1);
+ by (rtac inf_lb1 1);
by (Step_tac 1);
by (Step_tac 1);
- be mp 1;
- br inf_lb2 1;
+ by (etac mp 1);
+ by (rtac inf_lb2 1);
(*==> (level 11)*)
- br (conjI RS (le_trans RS mp)) 1;
- br inf_lb2 2;
+ by (rtac (conjI RS (le_trans RS mp)) 1);
+ by (rtac inf_lb2 2);
by (subgoal_tac "x && y = x" 1);
- be subst 1;
+ by (etac subst 1);
by (Fast_tac 1);
by (stac inf_connect 1);
- ba 1;
+ by (assume_tac 1);
qed "mono_inf_eq";
goalw thy [is_mono_def] "is_mono f = (ALL x y. f x || f y [= f (x || y))";
- by (safe_tac (claset()));
+ by Safe_tac;
(*==> (level 1)*)
by (stac ge_sup_eq 1);
- br conjI 1;
+ by (rtac conjI 1);
by (Step_tac 1);
by (Step_tac 1);
- be mp 1;
- br sup_ub1 1;
+ by (etac mp 1);
+ by (rtac sup_ub1 1);
by (Step_tac 1);
by (Step_tac 1);
- be mp 1;
- br sup_ub2 1;
+ by (etac mp 1);
+ by (rtac sup_ub2 1);
(*==> (level 11)*)
- br (conjI RS (le_trans RS mp)) 1;
- br sup_ub1 1;
+ by (rtac (conjI RS (le_trans RS mp)) 1);
+ by (rtac sup_ub1 1);
by (subgoal_tac "x || y = y" 1);
- be subst 1;
+ by (etac subst 1);
by (Fast_tac 1);
by (stac sup_connect 1);
- ba 1;
+ by (assume_tac 1);
qed "mono_sup_eq";