--- a/src/HOL/Real/real_arith.ML Tue Jan 13 10:37:52 2004 +0100
+++ b/src/HOL/Real/real_arith.ML Wed Jan 14 00:13:04 2004 +0100
@@ -267,7 +267,17 @@
(* reduce contradictory <= to False *)
val simps = [True_implies_equals,
inst "a" "(number_of ?v)::real" right_distrib,
- divide_1,times_divide_eq_right,times_divide_eq_left];
+ divide_1,times_divide_eq_right,times_divide_eq_left,
+ real_of_nat_zero, real_of_nat_Suc, real_of_nat_add, real_of_nat_mult,
+ real_of_int_zero, real_of_one, real_of_int_add RS sym,
+ real_of_int_minus RS sym, real_of_int_diff RS sym,
+ real_of_int_mult RS sym];
+
+val int_inj_thms = [real_of_int_le_iff RS iffD2, real_of_int_less_iff RS iffD2,
+ real_of_int_inject RS iffD2];
+
+val nat_inj_thms = [real_of_nat_le_iff RS iffD2, real_of_nat_less_iff RS iffD2,
+ real_of_nat_inject RS iffD2];
in
@@ -279,11 +289,13 @@
[Fast_Arith.map_data (fn {add_mono_thms, mult_mono_thms, inj_thms, lessD, simpset} =>
{add_mono_thms = add_mono_thms @ add_mono_thms_real,
mult_mono_thms = mult_mono_thms @ real_mult_mono_thms,
- inj_thms = inj_thms, (*FIXME: add real*)
- lessD = lessD, (*Can't change LA_Data_Ref.lessD: the reals are dense!*)
+ inj_thms = int_inj_thms @ nat_inj_thms @ inj_thms,
+ lessD = lessD, (*Can't change lessD: the reals are dense!*)
simpset = simpset addsimps add_rules
addsimps simps
addsimprocs simprocs}),
+ arith_inj_const ("RealDef.real", HOLogic.natT --> HOLogic.realT),
+ arith_inj_const ("RealDef.real", HOLogic.intT --> HOLogic.realT),
arith_discrete ("RealDef.real",false),
Simplifier.change_simpset_of (op addsimprocs) [fast_real_arith_simproc]];