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Diffstat (limited to 'theories/Numbers/Natural/Abstract/NProperties.v')
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NProperties.v | 23 |
1 files changed, 17 insertions, 6 deletions
diff --git a/theories/Numbers/Natural/Abstract/NProperties.v b/theories/Numbers/Natural/Abstract/NProperties.v index 575ede4f..cb3501d4 100644 --- a/theories/Numbers/Natural/Abstract/NProperties.v +++ b/theories/Numbers/Natural/Abstract/NProperties.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -9,9 +9,20 @@ Require Export NAxioms. Require Import NMaxMin NParity NPow NSqrt NLog NDiv NGcd NLcm NBits. -(** This functor summarizes all known facts about N. *) +(** The two following functors summarize all known facts about N. -Module Type NProp (N:NAxiomsSig) := - NMaxMinProp N <+ NParityProp N <+ NPowProp N <+ NSqrtProp N - <+ NLog2Prop N <+ NDivProp N <+ NGcdProp N <+ NLcmProp N - <+ NBitsProp N. + - [NBasicProp] provides properties of basic functions: + + - * min max <= < + + - [NExtraProp] provides properties of advanced functions: + pow, sqrt, log2, div, gcd, and bitwise functions. + + If necessary, the earlier all-in-one functor [NProp] + could be re-obtained via [NBasicProp <+ NExtraProp] *) + +Module Type NBasicProp (N:NAxiomsMiniSig) := NMaxMinProp N. + +Module Type NExtraProp (N:NAxiomsSig)(P:NBasicProp N) := + NParityProp N P <+ NPowProp N P <+ NSqrtProp N P + <+ NLog2Prop N P <+ NDivProp N P <+ NGcdProp N P <+ NLcmProp N P + <+ NBitsProp N P. |