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authorGravatar Pierre Boutillier <pierre.boutillier@pps.univ-paris-diderot.fr>2014-09-08 17:35:50 +0200
committerGravatar Pierre Boutillier <pierre.boutillier@ens-lyon.org>2014-10-01 23:24:36 +0200
commitb9cbf680f13927340720d1d0f4938dcc6cd65d1f (patch)
tree7cc258ea9458122d4e333f6cfa7af8a792242824 /theories/PArith
parentf640bcbe834cef3559118a093f1a905cacdccc2f (diff)
eta contractions
Diffstat (limited to 'theories/PArith')
-rw-r--r--theories/PArith/BinPosDef.v4
-rw-r--r--theories/PArith/Pnat.v2
2 files changed, 3 insertions, 3 deletions
diff --git a/theories/PArith/BinPosDef.v b/theories/PArith/BinPosDef.v
index 44b9e7d03..c10f323ff 100644
--- a/theories/PArith/BinPosDef.v
+++ b/theories/PArith/BinPosDef.v
@@ -482,8 +482,8 @@ Fixpoint lxor (p q:positive) : N :=
(** Shifts. NB: right shift of 1 stays at 1. *)
-Definition shiftl_nat (p:positive)(n:nat) := Nat.iter n xO p.
-Definition shiftr_nat (p:positive)(n:nat) := Nat.iter n div2 p.
+Definition shiftl_nat (p:positive) := nat_rect _ p (fun _ => xO).
+Definition shiftr_nat (p:positive) := nat_rect _ p (fun _ => div2).
Definition shiftl (p:positive)(n:N) :=
match n with
diff --git a/theories/PArith/Pnat.v b/theories/PArith/Pnat.v
index 0f2ecf55a..4658f46b8 100644
--- a/theories/PArith/Pnat.v
+++ b/theories/PArith/Pnat.v
@@ -192,7 +192,7 @@ Qed.
Theorem inj_iter :
forall p {A} (f:A->A) (x:A),
- Pos.iter f x p = Nat.iter (to_nat p) f x.
+ Pos.iter f x p = nat_rect _ x (fun _ => f) (to_nat p).
Proof.
induction p using peano_ind.
- trivial.