diff options
| author | letouzey | 2010-01-07 15:32:49 +0000 |
|---|---|---|
| committer | letouzey | 2010-01-07 15:32:49 +0000 |
| commit | 9b6517c0c933fb1d66c7feb53fa57e1697d8124a (patch) | |
| tree | d914d6bc2c5598baad03807ce40ada0b1d56045d /theories/Numbers | |
| parent | e3e6ff629e258269bc9fe06f7be99a2d5f334071 (diff) | |
Include can accept both Module and Module Type
Syntax Include Type is still active, but deprecated, and triggers a warning.
The syntax M <+ M' <+ M'', which performs internally an Include, also
benefits from this: M, M', M'' can be independantly modules or module type.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12640 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers')
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZBase.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZProperties.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/NatInt/NZAddOrder.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/NatInt/NZMul.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/NatInt/NZMulOrder.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/NatInt/NZOrder.v | 5 | ||||
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NBase.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NProperties.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NStrongRec.v | 2 |
9 files changed, 10 insertions, 11 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZBase.v b/theories/Numbers/Integer/Abstract/ZBase.v index 9b5a80762f..44bb02ecc6 100644 --- a/theories/Numbers/Integer/Abstract/ZBase.v +++ b/theories/Numbers/Integer/Abstract/ZBase.v @@ -15,7 +15,7 @@ Require Export ZAxioms. Require Import NZProperties. Module ZBasePropFunct (Import Z : ZAxiomsSig'). -Include Type NZPropFunct Z. +Include NZPropFunct Z. (* Theorems that are true for integers but not for natural numbers *) diff --git a/theories/Numbers/Integer/Abstract/ZProperties.v b/theories/Numbers/Integer/Abstract/ZProperties.v index 7f22532059..9b6f0ff644 100644 --- a/theories/Numbers/Integer/Abstract/ZProperties.v +++ b/theories/Numbers/Integer/Abstract/ZProperties.v @@ -18,6 +18,6 @@ Require Export ZAxioms ZMulOrder. Module Type ZPropSig := ZMulOrderPropFunct. Module ZPropFunct (Z:ZAxiomsSig) <: ZPropSig Z. - Include Type ZPropSig Z. + Include ZPropSig Z. End ZPropFunct. diff --git a/theories/Numbers/NatInt/NZAddOrder.v b/theories/Numbers/NatInt/NZAddOrder.v index 7313c4131c..97c122029f 100644 --- a/theories/Numbers/NatInt/NZAddOrder.v +++ b/theories/Numbers/NatInt/NZAddOrder.v @@ -13,7 +13,7 @@ Require Import NZAxioms NZBase NZMul NZOrder. Module Type NZAddOrderPropSig (Import NZ : NZOrdAxiomsSig'). -Include Type NZBasePropSig NZ <+ NZMulPropSig NZ <+ NZOrderPropSig NZ. +Include NZBasePropSig NZ <+ NZMulPropSig NZ <+ NZOrderPropSig NZ. Theorem add_lt_mono_l : forall n m p, n < m <-> p + n < p + m. Proof. diff --git a/theories/Numbers/NatInt/NZMul.v b/theories/Numbers/NatInt/NZMul.v index 3c11024e52..296bd095f9 100644 --- a/theories/Numbers/NatInt/NZMul.v +++ b/theories/Numbers/NatInt/NZMul.v @@ -14,7 +14,7 @@ Require Import NZAxioms NZBase NZAdd. Module Type NZMulPropSig (Import NZ : NZAxiomsSig')(Import NZBase : NZBasePropSig NZ). -Include Type NZAddPropSig NZ NZBase. +Include NZAddPropSig NZ NZBase. Theorem mul_0_r : forall n, n * 0 == 0. Proof. diff --git a/theories/Numbers/NatInt/NZMulOrder.v b/theories/Numbers/NatInt/NZMulOrder.v index 18f61de598..7b64a69836 100644 --- a/theories/Numbers/NatInt/NZMulOrder.v +++ b/theories/Numbers/NatInt/NZMulOrder.v @@ -14,7 +14,7 @@ Require Import NZAxioms. Require Import NZAddOrder. Module Type NZMulOrderPropSig (Import NZ : NZOrdAxiomsSig'). -Include Type NZAddOrderPropSig NZ. +Include NZAddOrderPropSig NZ. Theorem mul_lt_pred : forall p q n m, S p == q -> (p * n < p * m <-> q * n + m < q * m + n). diff --git a/theories/Numbers/NatInt/NZOrder.v b/theories/Numbers/NatInt/NZOrder.v index 6697c0b3dc..6a086f3bd6 100644 --- a/theories/Numbers/NatInt/NZOrder.v +++ b/theories/Numbers/NatInt/NZOrder.v @@ -611,7 +611,6 @@ End WF. End NZOrderPropSig. -Module NZOrderPropFunct (Import NZ : NZOrdSig). - Include Type NZBasePropSig NZ <+ NZOrderPropSig NZ. -End NZOrderPropFunct. +Module NZOrderPropFunct (NZ : NZOrdSig) := + NZBasePropSig NZ <+ NZOrderPropSig NZ. diff --git a/theories/Numbers/Natural/Abstract/NBase.v b/theories/Numbers/Natural/Abstract/NBase.v index 0d489a16d7..842f4bcf23 100644 --- a/theories/Numbers/Natural/Abstract/NBase.v +++ b/theories/Numbers/Natural/Abstract/NBase.v @@ -16,7 +16,7 @@ Require Import NZProperties. Module NBasePropFunct (Import N : NAxiomsSig'). (** First, we import all known facts about both natural numbers and integers. *) -Include Type NZPropFunct N. +Include NZPropFunct N. (** We prove that the successor of a number is not zero by defining a function (by recursion) that maps 0 to false and the successor to true *) diff --git a/theories/Numbers/Natural/Abstract/NProperties.v b/theories/Numbers/Natural/Abstract/NProperties.v index 2baed54cfe..30262bd9f4 100644 --- a/theories/Numbers/Natural/Abstract/NProperties.v +++ b/theories/Numbers/Natural/Abstract/NProperties.v @@ -18,5 +18,5 @@ Require Export NAxioms NSub. Module Type NPropSig := NSubPropFunct. Module NPropFunct (N:NAxiomsSig) <: NPropSig N. - Include Type NPropSig N. + Include NPropSig N. End NPropFunct. diff --git a/theories/Numbers/Natural/Abstract/NStrongRec.v b/theories/Numbers/Natural/Abstract/NStrongRec.v index ed867b8250..cbbcdbff50 100644 --- a/theories/Numbers/Natural/Abstract/NStrongRec.v +++ b/theories/Numbers/Natural/Abstract/NStrongRec.v @@ -16,7 +16,7 @@ and proves its properties *) Require Export NSub. Module NStrongRecPropFunct (Import N : NAxiomsSig'). -Include Type NSubPropFunct N. +Include NSubPropFunct N. Section StrongRecursion. |
