diff options
| author | letouzey | 2012-07-05 16:56:16 +0000 |
|---|---|---|
| committer | letouzey | 2012-07-05 16:56:16 +0000 |
| commit | fc2613e871dffffa788d90044a81598f671d0a3b (patch) | |
| tree | f6f308b3d6b02e1235446b2eb4a2d04b135a0462 /doc/refman/Setoid.tex | |
| parent | f93f073df630bb46ddd07802026c0326dc72dafd (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.tex | 6 |
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}. |
