diff options
author | filliatr <filliatr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2001-04-11 12:41:41 +0000 |
---|---|---|
committer | filliatr <filliatr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2001-04-11 12:41:41 +0000 |
commit | 4ac0580306ea9e45da1863316936d700969465ad (patch) | |
tree | bf7595cd76895f3a349e7e75ca9d64231b01dcf8 /theories/Sets | |
parent | 8a7452976731275212f0c464385b380e2d590f5e (diff) |
documentation automatique de la bibliothèque standard
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1578 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Sets')
-rwxr-xr-x | theories/Sets/Ensembles.v | 2 | ||||
-rwxr-xr-x | theories/Sets/Multiset.v | 2 | ||||
-rwxr-xr-x | theories/Sets/Permut.v | 2 | ||||
-rwxr-xr-x | theories/Sets/Relations_1_facts.v | 2 | ||||
-rwxr-xr-x | theories/Sets/Relations_2_facts.v | 2 | ||||
-rwxr-xr-x | theories/Sets/Relations_3_facts.v | 2 | ||||
-rw-r--r-- | theories/Sets/Uniset.v | 2 | ||||
-rwxr-xr-x | theories/Sets/intro.tex | 24 |
8 files changed, 31 insertions, 7 deletions
diff --git a/theories/Sets/Ensembles.v b/theories/Sets/Ensembles.v index 42cf98496..d92865c5d 100755 --- a/theories/Sets/Ensembles.v +++ b/theories/Sets/Ensembles.v @@ -46,7 +46,7 @@ Inductive Full_set : Ensemble := Leibniz equality. This may have to be changed if we replace U by a Setoid on U with its own equality eqs, with - In_singleton: (y: U)(eqs x y) -> (In (Singleton x) y). *) + [In_singleton: (y: U)(eqs x y) -> (In (Singleton x) y)]. *) Inductive Singleton [x:U] : Ensemble := In_singleton: (In (Singleton x) x). diff --git a/theories/Sets/Multiset.v b/theories/Sets/Multiset.v index 5c37b0fd9..cd7b1e23e 100755 --- a/theories/Sets/Multiset.v +++ b/theories/Sets/Multiset.v @@ -78,7 +78,7 @@ Unfold meq; Unfold munion; Simpl; Auto. Qed. -Require Plus. (* comm & ass of plus *) +Require Plus. (* comm. and ass. of plus *) Lemma munion_comm : (x,y:multiset)(meq (munion x y) (munion y x)). Proof. diff --git a/theories/Sets/Permut.v b/theories/Sets/Permut.v index baf28a53f..e19f73a8c 100755 --- a/theories/Sets/Permut.v +++ b/theories/Sets/Permut.v @@ -29,7 +29,7 @@ Hypothesis cong_right : (x,y,z:U)(cong x y)->(cong (op z x) (op z y)). Hypothesis cong_trans : (x,y,z:U)(cong x y)->(cong y z)->(cong x z). Hypothesis cong_sym : (x,y:U)(cong x y)->(cong y x). -(* Remark. we do not need: Hypothesis cong_refl : (x:U)(cong x x). *) +(* Remark. we do not need: [Hypothesis cong_refl : (x:U)(cong x x)]. *) Lemma cong_congr : (x,y,z,t:U)(cong x y)->(cong z t)->(cong (op x z) (op y t)). diff --git a/theories/Sets/Relations_1_facts.v b/theories/Sets/Relations_1_facts.v index ddcc433b8..b490fa7a0 100755 --- a/theories/Sets/Relations_1_facts.v +++ b/theories/Sets/Relations_1_facts.v @@ -24,7 +24,7 @@ (* in Summer 1995. Several developments by E. Ledinot were an inspiration. *) (****************************************************************************) -(* $Id$ *) +(*i $Id$ i*) Require Export Relations_1. diff --git a/theories/Sets/Relations_2_facts.v b/theories/Sets/Relations_2_facts.v index ec90057aa..588b7f431 100755 --- a/theories/Sets/Relations_2_facts.v +++ b/theories/Sets/Relations_2_facts.v @@ -24,7 +24,7 @@ (* in Summer 1995. Several developments by E. Ledinot were an inspiration. *) (****************************************************************************) -(* $Id$ *) +(*i $Id$ i*) Require Export Relations_1. Require Export Relations_1_facts. diff --git a/theories/Sets/Relations_3_facts.v b/theories/Sets/Relations_3_facts.v index 3fe27af99..a57487d1e 100755 --- a/theories/Sets/Relations_3_facts.v +++ b/theories/Sets/Relations_3_facts.v @@ -24,7 +24,7 @@ (* in Summer 1995. Several developments by E. Ledinot were an inspiration. *) (****************************************************************************) -(* $Id$ *) +(*i $Id$ i*) Require Export Relations_1. Require Export Relations_1_facts. diff --git a/theories/Sets/Uniset.v b/theories/Sets/Uniset.v index b18b5634a..12f267873 100644 --- a/theories/Sets/Uniset.v +++ b/theories/Sets/Uniset.v @@ -137,7 +137,7 @@ Qed. Hints Resolve seq_right. -(* All the proofs that follow duplicate Multiset_of_A *) +(* All the proofs that follow duplicate [Multiset_of_A] *) (* Here we should make uniset an abstract datatype, by hiding Charac, union, charac; all further properties are proved abstractly *) diff --git a/theories/Sets/intro.tex b/theories/Sets/intro.tex new file mode 100755 index 000000000..83c2177fd --- /dev/null +++ b/theories/Sets/intro.tex @@ -0,0 +1,24 @@ +\section{Sets}\label{Sets} + +This is a library on sets defined by their characteristic predicate. +It contains the following modules: + +\begin{itemize} +\item {\tt Ensembles.v} +\item {\tt Constructive\_sets.v}, {\tt Classical\_sets.v} +\item {\tt Relations\_1.v}, {\tt Relations\_2.v}, + {\tt Relations\_3.v}, {\tt Relations\_1\_facts.v}, \\ + {\tt Relations\_2\_facts.v}, {\tt Relations\_3\_facts.v} +\item {\tt Partial\_Order.v}, {\tt Cpo.v} +\item {\tt Powerset.v}, {\tt Powerset\_facts.v}, + {\tt Powerset\_Classical\_facts.v} +\item {\tt Finite\_sets.v}, {\tt Finite\_sets\_facts.v} +\item {\tt Image.v} +\item {\tt Infinite\_sets.v} +\item {\tt Integers.v} +\end{itemize} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: t +%%% End: |