| author | wenzelm |
| Thu, 16 Jun 2005 20:30:37 +0200 | |
| changeset 16414 | cad2cf55c851 |
| parent 14479 | 0eca4aabf371 |
| child 17609 | 5156b731ebc8 |
| permissions | -rw-r--r-- |
| 13517 | 1 |
(* Title: HOL/Integ/IntDiv_setup.ML |
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ID: $Id$ |
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Author: Tobias Nipkow, Informatik, TU Muenchen |
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Copyright 2002 TU Muenchen |
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Simproc for cancelling div and mod |
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*) |
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structure CancelDivModData = |
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struct |
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val div_name = "Divides.op div"; |
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val mod_name = "Divides.op mod"; |
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val mk_binop = HOLogic.mk_binop; |
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Polymorphic treatment of binary arithmetic using axclasses
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val mk_sum = Int_Numeral_Simprocs.mk_sum HOLogic.intT; |
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val dest_sum = Int_Numeral_Simprocs.dest_sum; |
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(*logic*) |
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val div_mod_eqs = |
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map mk_meta_eq [thm"zdiv_zmod_equality",thm"zdiv_zmod_equality2"] |
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val trans = trans |
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val prove_eq_sums = |
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streamlined treatment of quotients for the integers
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let val simps = diff_int_def :: Int_Numeral_Simprocs.add_0s @ zadd_ac |
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in NatArithUtils.prove_conv all_tac (NatArithUtils.simp_all simps) end |
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end; |
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structure CancelDivMod = CancelDivModFun(CancelDivModData); |
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val cancel_zdiv_zmod_proc = NatArithUtils.prep_simproc |
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("cancel_zdiv_zmod", ["(m::int) + n"], CancelDivMod.proc);
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Addsimprocs[cancel_zdiv_zmod_proc]; |