diff options
| author |  glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
|---|---|---|
| committer | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
| commit | 61ccbc81a2f3b4662ed4a2bad9d07d2003dda3a2 (patch) | |
| tree | 961cc88c714aa91a0276ea9fbf8bc53b2b9d5c28 /plugins/setoid_ring/RealField.v | |
| parent | 6d3fbdf36c6a47b49c2a4b16f498972c93c07574 (diff) | |
Delete trailing whitespaces in all *.{v,ml*} files
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'plugins/setoid_ring/RealField.v')
| -rw-r--r-- | plugins/setoid_ring/RealField.v | 14 |
1 files changed, 7 insertions, 7 deletions
diff --git a/plugins/setoid_ring/RealField.v b/plugins/setoid_ring/RealField.v index 60641bcf9..56473adb9 100644 --- a/plugins/setoid_ring/RealField.v +++ b/plugins/setoid_ring/RealField.v @@ -1,5 +1,5 @@ Require Import Nnat. -Require Import ArithRing. +Require Import ArithRing. Require Export Ring Field. Require Import Rdefinitions. Require Import Rpow_def. @@ -99,7 +99,7 @@ rewrite H in |- *; intro. apply (Rlt_asym 0 0); trivial. Qed. -Lemma Zeq_bool_complete : forall x y, +Lemma Zeq_bool_complete : forall x y, InitialRing.gen_phiZ 0%R 1%R Rplus Rmult Ropp x = InitialRing.gen_phiZ 0%R 1%R Rplus Rmult Ropp y -> Zeq_bool x y = true. @@ -114,21 +114,21 @@ Qed. Lemma R_power_theory : power_theory 1%R Rmult (eq (A:=R)) nat_of_N pow. Proof. constructor. destruct n. reflexivity. - simpl. induction p;simpl. + simpl. induction p;simpl. rewrite ZL6. rewrite Rdef_pow_add;rewrite IHp. reflexivity. unfold nat_of_P;simpl;rewrite ZL6;rewrite Rdef_pow_add;rewrite IHp;trivial. rewrite Rmult_comm;apply Rmult_1_l. Qed. -Ltac Rpow_tac t := +Ltac Rpow_tac t := match isnatcst t with | false => constr:(InitialRing.NotConstant) | _ => constr:(N_of_nat t) - end. + end. -Add Field RField : Rfield +Add Field RField : Rfield (completeness Zeq_bool_complete, power_tac R_power_theory [Rpow_tac]). - + |