diff options
Diffstat (limited to 'plugins/setoid_ring/BinList.v')
| -rw-r--r-- | plugins/setoid_ring/BinList.v | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/plugins/setoid_ring/BinList.v b/plugins/setoid_ring/BinList.v index 509020042..d403c9efe 100644 --- a/plugins/setoid_ring/BinList.v +++ b/plugins/setoid_ring/BinList.v @@ -28,17 +28,17 @@ Section MakeBinList. | xH => hd default l | xO p => nth p (jump p l) | xI p => nth p (jump p (tail l)) - end. + end. Lemma jump_tl : forall j l, tail (jump j l) = jump j (tail l). - Proof. + Proof. induction j;simpl;intros. repeat rewrite IHj;trivial. repeat rewrite IHj;trivial. trivial. Qed. - Lemma jump_Psucc : forall j l, + Lemma jump_Psucc : forall j l, (jump (Psucc j) l) = (jump 1 (jump j l)). Proof. induction j;simpl;intros. @@ -47,7 +47,7 @@ Section MakeBinList. trivial. Qed. - Lemma jump_Pplus : forall i j l, + Lemma jump_Pplus : forall i j l, (jump (i + j) l) = (jump i (jump j l)). Proof. induction i;intros. @@ -69,7 +69,7 @@ Section MakeBinList. trivial. Qed. - + Lemma nth_jump : forall p l, nth p (tail l) = hd default (jump p l). Proof. induction p;simpl;intros. |