diff options
Diffstat (limited to 'theories/NArith/BinNat.v')
| -rw-r--r-- | theories/NArith/BinNat.v | 34 |
1 files changed, 14 insertions, 20 deletions
diff --git a/theories/NArith/BinNat.v b/theories/NArith/BinNat.v index 3f256b40f..3e576a08b 100644 --- a/theories/NArith/BinNat.v +++ b/theories/NArith/BinNat.v @@ -6,33 +6,18 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) +Require Export BinNums. Require Import BinPos. (**********************************************************************) -(** Binary natural numbers *) - -Inductive N : Set := - | N0 : N - | Npos : positive -> N. - -(** Declare binding key for scope positive_scope *) - -Delimit Scope N_scope with N. - -(** Automatically open scope positive_scope for the constructors of N *) +(** * Binary natural numbers, operations and properties *) +(**********************************************************************) -Bind Scope N_scope with N. -Arguments Scope Npos [positive_scope]. +(** The type [N] and its constructors [N0] and [Npos] are now + defined in [BinNums.v] *) Local Open Scope N_scope. -(** Some local ad-hoc notation, since no interpretation of numerical - constants is available yet. *) - -Local Notation "0" := N0 : N_scope. -Local Notation "1" := (Npos 1) : N_scope. -Local Notation "2" := (Npos 2) : N_scope. - Definition Ndiscr : forall n:N, { p:positive | n = Npos p } + { n = N0 }. Proof. destruct n; auto. @@ -693,3 +678,12 @@ Proof. intros (m,H). now destruct m. exists 0. reflexivity. Qed. + +(** Compatibility notations *) + +Notation N := N (only parsing). +Notation N_rect := N_rect (only parsing). +Notation N_rec := N_rec (only parsing). +Notation N_ind := N_ind (only parsing). +Notation N0 := N0 (only parsing). +Notation Npos := Npos (only parsing). |