# HG changeset patch # User paulson # Date 902392623 -7200 # Node ID 212d203d6cd3778c19797d61b0467b1aad3e4fac # Parent ce3c25c8a694a862ba57cb6b1b00e8e63d003c08 New results from AC diff -r ce3c25c8a694 -r 212d203d6cd3 src/ZF/Order.ML --- a/src/ZF/Order.ML Thu Aug 06 10:33:54 1998 +0200 +++ b/src/ZF/Order.ML Thu Aug 06 10:37:03 1998 +0200 @@ -179,6 +179,22 @@ qed "well_ord_0"; +(** The unit set is well-ordered by the empty relation (Grabczewski) **) + +Goalw [irrefl_def, trans_on_def, part_ord_def, linear_def, tot_ord_def] + "tot_ord({a},0)"; +by (Simp_tac 1); +qed "tot_ord_unit"; + +Goalw [wf_on_def, wf_def] "wf[{a}](0)"; +by (Fast_tac 1); +qed "wf_on_unit"; + +Goalw [well_ord_def] "well_ord({a},0)"; +by (simp_tac (simpset() addsimps [tot_ord_unit, wf_on_unit]) 1); +qed "well_ord_unit"; + + (** Order-preserving (monotone) maps **) Goalw [mono_map_def]