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| author |  filliatr <filliatr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2002-06-20 10:42:40 +0000 |
|---|---|---|
| committer | filliatr <filliatr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2002-06-20 10:42:40 +0000 |
| commit | 22f57f9ee69d09e4ccb1a713e655125ce10778ca (patch) | |
| tree | 811e09f771faf634061aa1617ecaa4e4024cbe87 /theories/ZArith/Zbool.v | |
| parent | 30ba88e45542b31f6a3799b48ce9f31177459359 (diff) | |
ZArith_base, Zbool, Bool_nat
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2798 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/ZArith/Zbool.v')
| -rw-r--r-- | theories/ZArith/Zbool.v | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/theories/ZArith/Zbool.v b/theories/ZArith/Zbool.v new file mode 100644 index 000000000..4e385c11e --- /dev/null +++ b/theories/ZArith/Zbool.v @@ -0,0 +1,27 @@ +(***********************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *) +(* \VV/ *************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(***********************************************************************) + +(* $Id$ *) + +Require ZArith_base. +Require Sumbool. + +(** The decidability of equality and order relations over + type [Z] give some boolean functions with the adequate specification. *) + +Definition Z_lt_ge_bool := [x,y:Z](bool_of_sumbool (Z_lt_ge_dec x y)). +Definition Z_ge_lt_bool := [x,y:Z](bool_of_sumbool (Z_ge_lt_dec x y)). + +Definition Z_le_gt_bool := [x,y:Z](bool_of_sumbool (Z_le_gt_dec x y)). +Definition Z_gt_le_bool := [x,y:Z](bool_of_sumbool (Z_gt_le_dec x y)). + +Definition Z_eq_bool := [x,y:Z](bool_of_sumbool (Z_eq_dec x y)). +Definition Z_noteq_bool := [x,y:Z](bool_of_sumbool (Z_noteq_dec x y)). + +Definition Zeven_odd_bool := [x:Z](bool_of_sumbool (Zeven_odd_dec x)). + |