blob: 8de7021e84b79cdcd1effe5a57c937bd564f06bb (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
Require Export Ring.
Require Import ZArith_base.
Require Import Zpow_def.
Import InitialRing.
Set Implicit Arguments.
Ltac Zcst t :=
match isZcst t with
true => t
| _ => NotConstant
end.
Ltac isZpow_coef t :=
match t with
| Zpos ?p => isPcst p
| Z0 => true
| _ => false
end.
Definition N_of_Z x :=
match x with
| Zpos p => Npos p
| _ => N0
end.
Ltac Zpow_tac t :=
match isZpow_coef t with
| true => constr:(N_of_Z t)
| _ => constr:(NotConstant)
end.
Ltac Zpower_neg :=
repeat match goal with
| [|- ?G] =>
match G with
| context c [Zpower _ (Zneg _)] =>
let t := context c [Z0] in
change t
end
end.
Add Ring Zr : Zth
(decidable Zeqb_ok, constants [Zcst], preprocess [Zpower_neg;unfold Zsucc],
power_tac Zpower_theory [Zpow_tac]).
|
