diff options
Diffstat (limited to 'theories')
| -rw-r--r-- | theories/ZArith/Zmisc.v | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/theories/ZArith/Zmisc.v b/theories/ZArith/Zmisc.v index 9b5eb9260..a4cf3a9b3 100644 --- a/theories/ZArith/Zmisc.v +++ b/theories/ZArith/Zmisc.v @@ -298,25 +298,25 @@ Proof. NewDestruct z; [ Idtac | NewDestruct p | NewDestruct p ]; Compute; Trivial. Qed. -Lemma Zeven_Sn : (z:Z)(Zeven z) -> (Zodd (Zs z)). +Lemma Zeven_Sn : (z:Z)(Zodd z) -> (Zeven (Zs z)). Proof. NewDestruct z; Unfold Zs; [ Idtac | NewDestruct p | NewDestruct p ]; Simpl; Trivial. Unfold double_moins_un; Case p; Simpl; Auto. Qed. -Lemma Zodd_Sn : (z:Z)(Zodd z) -> (Zeven (Zs z)). +Lemma Zodd_Sn : (z:Z)(Zeven z) -> (Zodd (Zs z)). Proof. NewDestruct z; Unfold Zs; [ Idtac | NewDestruct p | NewDestruct p ]; Simpl; Trivial. Unfold double_moins_un; Case p; Simpl; Auto. Qed. -Lemma Zeven_pred : (z:Z)(Zeven z) -> (Zodd (Zpred z)). +Lemma Zeven_pred : (z:Z)(Zodd z) -> (Zeven (Zpred z)). Proof. NewDestruct z; Unfold Zpred; [ Idtac | NewDestruct p | NewDestruct p ]; Simpl; Trivial. Unfold double_moins_un; Case p; Simpl; Auto. Qed. -Lemma Zodd_pred : (z:Z)(Zodd z) -> (Zeven (Zpred z)). +Lemma Zodd_pred : (z:Z)(Zeven z) -> (Zodd (Zpred z)). Proof. NewDestruct z; Unfold Zpred; [ Idtac | NewDestruct p | NewDestruct p ]; Simpl; Trivial. Unfold double_moins_un; Case p; Simpl; Auto. @@ -384,7 +384,7 @@ Intro p; Split with (Zdiv2 (Zpred (NEG p))). Pattern 1 (NEG p); Rewrite (Zs_pred (NEG p)). Pattern 1 (Zpred (NEG p)); Rewrite (Zeven_div2 (Zpred (NEG p))). Reflexivity. -Apply Zodd_pred; Assumption. +Apply Zeven_pred; Assumption. Qed. Lemma Zsplit2 : (x:Z) { p : Z*Z | let (x1,x2)=p in (`x=x1+x2` /\ (x1=x2 \/ `x2=x1+1`)) }. |