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authorMaxime Dénès2018-04-16 09:09:44 +0200
committerMaxime Dénès2018-04-16 09:09:44 +0200
commit8fdfbdbcb4156571a43db7445dea6cd6cec58a53 (patch)
treec14e2d109112f1fef9cf19b293ddd275ad79cbfe /doc/RecTutorial/RecTutorial.tex
parentea08600edd8796bc8d2782a1750c628c2f64f3d6 (diff)
parent2243c25c79ab19876ad74452c9cecc7dcc88c67c (diff)
Merge PR #7200: [ltac] Deprecate nameless fix/cofix.
Diffstat (limited to 'doc/RecTutorial/RecTutorial.tex')
-rw-r--r--doc/RecTutorial/RecTutorial.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/doc/RecTutorial/RecTutorial.tex b/doc/RecTutorial/RecTutorial.tex
index d0884be0dd..01369b9003 100644
--- a/doc/RecTutorial/RecTutorial.tex
+++ b/doc/RecTutorial/RecTutorial.tex
@@ -2978,7 +2978,7 @@ definition of \textsl{div\_aux}:
\begin{alltt}
Definition div_aux (x y:nat)(H: Acc lt x):nat.
- fix 3.
+ fix div_aux 3.
intros.
refine (if eq_nat_dec x 0
then 0
@@ -3010,10 +3010,10 @@ Definition div x y := div_aux x y (lt_wf x).
Let us explain the proof above. In the definition of \citecoq{div\_aux},
what decreases is not $x$ but the \textsl{proof} of the accessibility
-of $x$. The tactic ``~\texttt{fix 3}~'' is used to indicate that the proof
+of $x$. The tactic ``~\texttt{fix div\_aux 3}~'' is used to indicate that the proof
proceeds by structural induction on the third argument of the theorem
--that is, on the accessibility proof. It also introduces a new
-hypothesis in the context, named as the current theorem, and with the
+hypothesis in the context, named ``~\texttt{div\_aux}~'', and with the
same type as the goal. Then, the proof is refined with an incomplete
proof term, containing a hole \texttt{\_}. This hole corresponds to the proof
of accessibility for $x-y$, and is filled up with the (smaller!)