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Diffstat (limited to 'theories/Numbers/Integer/Abstract/ZPlus.v')
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZPlus.v | 16 |
1 files changed, 16 insertions, 0 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZPlus.v b/theories/Numbers/Integer/Abstract/ZPlus.v index bae74feca..16fe11431 100644 --- a/theories/Numbers/Integer/Abstract/ZPlus.v +++ b/theories/Numbers/Integer/Abstract/ZPlus.v @@ -1,9 +1,25 @@ +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) +(* Evgeny Makarov, INRIA, 2007 *) +(************************************************************************) + +(*i i*) + Require Export ZBase. Module ZPlusPropFunct (Import ZAxiomsMod : ZAxiomsSig). Module Export ZBasePropMod := ZBasePropFunct ZAxiomsMod. Open Local Scope IntScope. +Theorem Zplus_wd : + forall n1 n2 : Z, n1 == n2 -> forall m1 m2 : Z, m1 == m2 -> n1 + m1 == n2 + m2. +Proof NZplus_wd. + Theorem Zplus_0_l : forall n : Z, 0 + n == n. Proof NZplus_0_l. |