--- a/src/HOL/Numeral_Simprocs.thy Fri Nov 11 08:32:48 2011 +0100
+++ b/src/HOL/Numeral_Simprocs.thy Fri Nov 11 11:11:03 2011 +0100
@@ -202,6 +202,10 @@
use "Tools/nat_numeral_simprocs.ML"
+simproc_setup nat_combine_numerals
+ ("(i::nat) + j" | "Suc (i + j)") =
+ {* fn phi => Nat_Numeral_Simprocs.combine_numerals *}
+
simproc_setup nateq_cancel_numerals
("(l::nat) + m = n" | "(l::nat) = m + n" |
"(l::nat) * m = n" | "(l::nat) = m * n" |
@@ -226,6 +230,26 @@
"Suc m - n" | "m - Suc n") =
{* fn phi => Nat_Numeral_Simprocs.diff_cancel_numerals *}
+simproc_setup nat_eq_cancel_factor
+ ("(l::nat) * m = n" | "(l::nat) = m * n") =
+ {* fn phi => Nat_Numeral_Simprocs.eq_cancel_factor *}
+
+simproc_setup nat_less_cancel_factor
+ ("(l::nat) * m < n" | "(l::nat) < m * n") =
+ {* fn phi => Nat_Numeral_Simprocs.less_cancel_factor *}
+
+simproc_setup nat_le_cancel_factor
+ ("(l::nat) * m <= n" | "(l::nat) <= m * n") =
+ {* fn phi => Nat_Numeral_Simprocs.le_cancel_factor *}
+
+simproc_setup nat_divide_cancel_factor
+ ("((l::nat) * m) div n" | "(l::nat) div (m * n)") =
+ {* fn phi => Nat_Numeral_Simprocs.divide_cancel_factor *}
+
+simproc_setup nat_dvd_cancel_factor
+ ("((l::nat) * m) dvd n" | "(l::nat) dvd (m * n)") =
+ {* fn phi => Nat_Numeral_Simprocs.dvd_cancel_factor *}
+
declaration {*
K (Lin_Arith.add_simps (@{thms neg_simps} @ [@{thm Suc_nat_number_of}, @{thm int_nat_number_of}])
#> Lin_Arith.add_simps (@{thms ring_distribs} @ [@{thm Let_number_of}, @{thm Let_0}, @{thm Let_1},
@@ -247,7 +271,7 @@
@{simproc intless_cancel_numerals},
@{simproc intle_cancel_numerals}]
#> Lin_Arith.add_simprocs
- [Nat_Numeral_Simprocs.combine_numerals,
+ [@{simproc nat_combine_numerals},
@{simproc nateq_cancel_numerals},
@{simproc natless_cancel_numerals},
@{simproc natle_cancel_numerals},