From d0a6df6e55c252cd46c058908cdcb31efdaafd5c Mon Sep 17 00:00:00 2001 From: herbelin Date: Mon, 16 Sep 2002 17:11:25 +0000 Subject: MAJ eq_rect, False_rec, False_rect git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8294 85f007b7-540e-0410-9357-904b9bb8a0f7 --- doc/RefMan-lib.tex | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/doc/RefMan-lib.tex b/doc/RefMan-lib.tex index b7e2628b60..b9683bec38 100755 --- a/doc/RefMan-lib.tex +++ b/doc/RefMan-lib.tex @@ -225,19 +225,19 @@ Abort. \ttindex{eq\_rec\_r} \ttindex{eq\_rect} \ttindex{eq\_rect\_r} +%Definition eq_rect: (A:Set)(x:A)(P:A->Type)(P x)->(y:A)(x=y)->(P y). \begin{coq_example*} End equality. Definition eq_ind_r : (A:Set)(x:A)(P:A->Prop)(P x)->(y:A)(y=x)->(P y). Definition eq_rec_r : (A:Set)(x:A)(P:A->Set)(P x)->(y:A)(y=x)->(P y). -Definition eq_rect: (A:Set)(x:A)(P:A->Type)(P x)->(y:A)(x=y)->(P y). Definition eq_rect_r : (A:Set)(x:A)(P:A->Type)(P x)->(y:A)(y=x)->(P y). \end{coq_example*} \begin{coq_eval} Abort. Abort. Abort. -Abort. \end{coq_eval} +%Abort (for now predefined eq_rect) \begin{coq_example*} Hints Immediate sym_eq sym_not_eq : core. \end{coq_example*} @@ -486,18 +486,18 @@ interpretation. \ttindex{absurd\_set} \ttindex{and\_rec} +%Lemma False_rec : (P:Set)False->P. +%Lemma False_rect : (P:Type)False->P. \begin{coq_example*} -Lemma False_rec : (P:Set)False->P. -Lemma False_rect : (P:Type)False->P. Definition except := False_rec. Syntactic Definition Except := (except ?). Theorem absurd_set : (A:Prop)(C:Set)A->(~A)->C. Theorem and_rec : (A,B:Prop)(C:Set)(A->B->C)->(A/\B)->C. \end{coq_example*} -\begin{coq_eval} -Abort. -Abort. -\end{coq_eval} +%\begin{coq_eval} +%Abort. +%Abort. +%\end{coq_eval} \subsection{Basic Arithmetics} -- cgit v1.2.3