aboutsummaryrefslogtreecommitdiff
path: root/doc/refman/Setoid.tex
diff options
context:
space:
mode:
authorletouzey2012-07-05 16:56:16 +0000
committerletouzey2012-07-05 16:56:16 +0000
commitfc2613e871dffffa788d90044a81598f671d0a3b (patch)
treef6f308b3d6b02e1235446b2eb4a2d04b135a0462 /doc/refman/Setoid.tex
parentf93f073df630bb46ddd07802026c0326dc72dafd (diff)
ZArith + other : favor the use of modern names instead of compat notations
- For instance, refl_equal --> eq_refl - Npos, Zpos, Zneg now admit more uniform qualified aliases N.pos, Z.pos, Z.neg. - A new module BinInt.Pos2Z with results about injections from positive to Z - A result about Z.pow pushed in the generic layer - Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l} - Using tactic Z.le_elim instead of Zle_lt_or_eq - Some cleanup in ring, field, micromega (use of "Equivalence", "Proper" ...) - Some adaptions in QArith (for instance changed Qpower.Qpower_decomp) - In ZMake and ZMake, functor parameters are now named NN and ZZ instead of N and Z for avoiding confusions git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'doc/refman/Setoid.tex')
-rw-r--r--doc/refman/Setoid.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/doc/refman/Setoid.tex b/doc/refman/Setoid.tex
index 8e1bb10c9b..c0913135c9 100644
--- a/doc/refman/Setoid.tex
+++ b/doc/refman/Setoid.tex
@@ -371,9 +371,9 @@ the replaced term occurs in a covariant position.
\begin{cscexample}[Covariance and contravariance]
Suppose that division over real numbers has been defined as a
-morphism of signature \texttt{Zdiv: Zlt ++> Zlt -{}-> Zlt} (i.e.
-\texttt{Zdiv} is increasing in its first argument, but decreasing on the
-second one). Let \texttt{<} denotes \texttt{Zlt}.
+morphism of signature \texttt{Z.div: Z.lt ++> Z.lt -{}-> Z.lt} (i.e.
+\texttt{Z.div} is increasing in its first argument, but decreasing on the
+second one). Let \texttt{<} denotes \texttt{Z.lt}.
Under the hypothesis \texttt{H: x < y} we have
\texttt{k < x / y -> k < x / x}, but not
\texttt{k < y / x -> k < x / x}.