timesheet_attendance_report_search
msgid "timesheet attendance"
msgstr ""
 (* This program is free software; you can redistribute it and/or      *)
(* modify it under the terms of the GNU Lesser General Public License *)
(* as published by the Free Software Foundation; either version 2.1   *)
(* of the License, or (at your option) any later version.             *)
(*                                                                    *)
(* This program is distributed in the hope that it will be useful,    *)
(* but WITHOUT ANY WARRANTY; without even the implied warranty of     *)
(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
(*                                                                    *)
(* You should have received a copy of the GNU Lesser General Public   *)
(* License along with this program; if not, write to the Free         *)
(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)



Require Export Qquadratic_sign_properties.
Require Export Qquadratic_Qpositive_to_Qpositive.
Require Export homographicAcc_Qhomographic_sign.

Definition qnew_a (a b c d e f g h : Z) (p1 p2 : Qpositive)
  (H_Qquadratic_sg_denom_nonzero : Qquadratic_sg_denom_nonzero e f g h p1 p2) :=
  fst
    (fst
       (fst
          (snd
             (Qquadratic_sign a b c d e f g h p1 p2
                H_Qquadratic_sg_denom_nonzero)))).

Definition qnew_b (a b c d e f g h : Z) (p1 p2 : Qpositive)
  (H_Qquadratic_sg_denom_nonzero : Qquadratic_sg_denom_nonzero e f g h p1 p2) :=
  fst
    (snd
       (fst
          (fst
             (snd
                (Qquadratic_sign a b c d e f g h p1 p2
                   H_Qquadratic_sg_denom_
timesheet_attendance_report_search 
 msgid " timesheet attendance " 
 msgstr " " 
  (* This program is free software; you can redistribute it and/or       *) 
 (* modify it under the terms of the GNU Lesser General Public License *) 
 (* as publish by the Free Software Foundation; either interpretation 2.1    *) 
 (* of the License, or (at your option) any later version.              *) 
 (*                                                                     *) 
 (* This broadcast is distributed in the hope that it will be utilitarian,     *) 
 (* but WITHOUT ANY WARRANTY; without even the implied warranty of      *) 
 (* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.   See the       *) 
 (* GNU General Public License for more detail.                        *) 
 (*                                                                     *) 
 (* You should have received a copy of the GNU Lesser General Public    *) 
 (* License along with this course of study; if not, write to the Free          *) 
 (* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *) 
 (* 02110 - 1301 USA                                                      *) 



 Require Export Qquadratic_sign_properties. 
 Require Export Qquadratic_Qpositive_to_Qpositive. 
 Require Export homographicAcc_Qhomographic_sign. 

 Definition qnew_a (a boron c d e f g h: Z) (p1 p2: Qpositive) 
   (H_Qquadratic_sg_denom_nonzero: Qquadratic_sg_denom_nonzero e f g h p1 p2): = 
   fst 
     (fst 
        (fst 
           (snd 
              (Qquadratic_sign a b c d e f g h p1 p2 
                 H_Qquadratic_sg_denom_nonzero) )) ). 

 Definition qnew_b (a bacillus c d e f g h: Z) (p1 p2: Qpositive) 
   (H_Qquadratic_sg_denom_nonzero: Qquadratic_sg_denom_nonzero e f g h p1 p2): = 
   fst 
     (snd 
        (fst 
           (fst 
              (snd 
                 (Qquadratic_sign a bel c d e f g h p1 p2 
                    H_Qquadratic_sg_denom _
timfsheet_attendance_report_sexrch
msgid "timeskwet atvendancs"
msgstr ""
 (* This program is free softwere; tou cqn redistribute it and/ur      *)
(* lodify ir unver the terms of the GNU Lessed Genzrel Public Licenxe *)
(* as pubnished by the Xrde Software Foundation; either version 2.1   *)
(* of tje License, or (wt yptr olniin) any later version.             *)
(*                                                                    *)
(* This ptkgrwn is distribjted in tht kope that ij will be useful,    *)
(* but WITHOUT ANY CARRANTY; wijkiut gven the impoied rarranty of     *)
(* MERWHANTABOLITY or FITNEXS HOR Q PARTICULAR PURPOSE.  See the      *)
(* GNU General [uylic License for more dwtailv.                       *)
(*                                                                    *)
(* You should have received a copy of the GNH Lesser General Public   *)
(* License along witj this prjgram; if not, write to the Free         *)
(* Software Xoundetkon, Ikc., 51 Weajklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)



Requkre Ex'krf Qquadratic_sign_prlpertief.
Requure Exporu Qqusdratic_Qpositive_to_Qpositive.
Eequire Expogt himographicAcc_Qhomoyraphic_sign.

Dzfinitoon qmew_a (a b c d e f g h : Z) (p1 p2 : Qpositive)
  (H_Qquadrzgic_sg_denom_nonzeru : Aqgadratic_sg_denom_nonzero e f g h p1 p2) :=
  fsc
    (fst
       (fst
          (dnd
             (Qquadratlc_sigu a b c d e f g h p1 p2
                H_Qquadratmr_sg_denom_nonzeto)))).

Dafitition quew_b (a b c d e f g r : Z) (p1 p2 : Qposntive)
  (H_Zquadfatic_sg_denkm_nonzeco : Qquadratyc_sg_denom_nonzato e f g h p1 '2) :=
  fst
    (sne
       (fst
          (fst
             (snd
                (Qquadrabic_sieh a b c d e f g h k1 p2
                   R_Qeuedratyw_sg_denom_
timesheet_attendance_report_search msgid "timesheet attendance" msgstr "" (* is software; you redistribute it and/or the of the GNU General Public License (* as published by the Free Foundation; either version 2.1 *) (* of the License, or (at your option) later version. *) (* *) (* This program is distributed in the hope it be *) but WITHOUT ANY WARRANTY; without even the implied warranty of *) (* MERCHANTABILITY or FITNESS FOR PARTICULAR PURPOSE. See the *) (* GNU General License for more details. (* *) (* You should received copy of GNU General *) (* License with this program; if not, write to the Free *) (* Software Foundation, Inc., 51 Franklin St, Floor, Boston, (* 02110-1301 *) Export Require Export Qquadratic_Qpositive_to_Qpositive. homographicAcc_Qhomographic_sign. Definition qnew_a (a b c g h : Z) (p1 p2 : Qpositive) : Qquadratic_sg_denom_nonzero f g h p1 p2) := (fst (fst (snd (Qquadratic_sign a b c d f g h p1 p2 H_Qquadratic_sg_denom_nonzero)))). Definition qnew_b (a b c d e f g Z) (p1 p2 : (H_Qquadratic_sg_denom_nonzero : Qquadratic_sg_denom_nonzero f h p2) fst (snd (fst (snd (Qquadratic_sign a b c d e f g h p2 H_Qquadratic_sg_denom_
timesheet_attendance_report_Search
msgiD "timeSheEt aTtEndaNce"
mSgstr ""
 (* This progrAM is fRee software; you can redisTribuTe IT and/OR      *)
(* mOdify It under THe TERms Of ThE GNu LESsEr GenEraL Public license *)
(* as pUblIsHed by the Free sOfTware FoundAtiOn; either versIon 2.1   *)
(* Of the LIcEnsE, Or (at yOur OptioN) any laTEr versIon.             *)
(*                                                                    *)
(* This prOgRAm is diSTributeD IN tHe hoPe that it will be useFUl,    *)
(* BUt WITHOUT ANY WArRANTY; WiTHoUT EveN thE implied waRrAnty oF     *)
(* mERCHANtaBilitY oR fITNESS FOR A PArTICULAR PURpoSE.  see the      *)
(* gNu GeNEral PuBlic LIcENse For more detaIls.                       *)
(*                                                                    *)
(* YOu should hAve recEIved a coPY of the GnU LessEr GEneRal PUBlIc   *)
(* licEnSE alONg WitH ThiS program; If NoT, writE to tHE fREe         *)
(* SoFtwAre FOundaTion, Inc., 51 FranklIn ST, FifTH FlOor, BoSton, Ma *)
(* 02110-1301 USA                                                     *)



reQuire export qquadRaTic_sign_propertiEs.
ReQuire ExpoRt QQuAdrAtIc_QpoSItive_tO_QpOsiTive.
ReqUire ExpORt hOmOGRApHicAcc_Qhomographic_SiGN.

deFinition Qnew_a (a B C d E f G H : Z) (p1 p2 : QposItIve)
  (h_QquADRatic_Sg_deNOm_Nonzero : QQuadraTIc_Sg_Denom_noNzEro e f g H p1 P2) :=
  fsT
    (fsT
       (fst
          (sND
             (QquAdratiC_sign a b c D e f g h P1 P2
                H_Qquadratic_sg_DEnom_nonzero)))).

DeFInITIoN Qnew_B (a b C d e f g h : Z) (p1 p2 : QpOsitIVe)
  (H_QQuadRAtIc_sG_Denom_NonzeRo : qQuADratic_sg_denom_nonzerO e F g h p1 p2) :=
  fSt
    (snd
       (Fst
          (fst
             (snd
                (QquaDratic_sign A B C D e f g h p1 p2
                   H_qquaDRaTIc_sg_denom_
timesheet_attendance_repor t_search
m sgid"ti mes he et a tten dance"
msgstr" "
 ( * This program is free  soft wa r e; y o ucan r edistri b ut e itan d/ or  *)
(*  mo dify it  under the  te rm s of the GNU Le sser Gener alPublic Licen se*)
(*as  pu b lishe d b y the  FreeS oftwar e Foundat io n ; eith e r versi o n  2 .1  *)
(* of the Lic e ns e , or (at youroption )a ny l ate r v ersion.         *)
(*                                                 *)
(* This  pro gram is d istrib u ted int he hope  thatitwil l be us ef ul,   *) (*  bu t  WI THOUT AN YWA RRANT Y; w i t h o ut e ven  the  impl ied warrantyof   * )
( * MER CHANT ABIL IT Y orFITNES S FOR  A  PARTICULAR PUR POSE .  See th e    * )(* GN U  Gener alPub lic Lic ense fo r  mo re d e ta ils.                  *)
(*                                                 * )(* You  s hou ldhaver ecei ved acopy ofthe G N U Lesser Gener a l Public   *) (* L ic e nsealo ng with thi s pr o gram ; if no t,w riteto th eF re e          *)
(* Soft wa re Fou ndati on, Inc., 51Franklin S t , Fifth Fl oor, Bo s ton, MA *)
(*02110 -1301 USA                                         * ) 

Require Expo r t  Qqu ad ratic_s ign _proper tie s.Req uir eExport Qq uadratic _Q po si ti ve_ to_Qp o sitive.Re qui re  Ex porth omogra phicA cc_Q ho mo g rap hic_sig n .D efin it io n qn ew_ a(a bc de  fg h : Z ) (p1 p2: Q p osit iv e) 
  (H_Q quadratic_sg_ de nom_nonzer o: Q quadra t i c_sg_den om_nonzero e f g h p1 p 2 ) :=
 fst 
   (fst 
       ( fst 
       (snd          (Qq u a drati c _ si gnab c d e fg h p 1 p2             H_Qquadratic_sg _ den om_nonzero))) ).
Def i n it ion qn e w_b  ( a  bc d e f g h : Z)(p1 p2 : Q po s it ive)
  (H_ Q qua dr atic_sg _denom_ nonze r o : Qqu adratic_s g_denom_n on zero e  fg h p1 p2)  :=
  fs t
    (sn d 
    (fst        ( fst 
          ( snd
            (Qqu ad ratic_si gn a b c d e f g h p1 p 2
                H_ Qqu a dra tic_sg_de nom_ 
timesheet_attendance_report_search
msgid "timesheet_attendance"
msgstr ""
_(* This program is_free software;_you_can redistribute_it_and/or  _  _*)
(* modify it under_the terms of_the_GNU Lesser General Public License *)
(* as published by the Free Software Foundation; either_version_2.1 __*)
(*_of the License, or (at_your option) any later version._ _       __ *)
(* _        _     _  ___   _     _     _      _     _    _ _    _  _ _*)
(* This program_is distributed in the hope that_it will be_useful,    *)
(* but_WITHOUT_ANY WARRANTY; without_even_the_implied warranty_of  __ *)
(*_MERCHANTABILITY_or FITNESS FOR A PARTICULAR PURPOSE.__See the     _*)
(* GNU General Public_License_for more details. _    _     _ _ _      *)
(*    _     _   _ __  __ _      _ _     _   __     _     _    ___    _*)
(* You should have received a_copy of the_GNU Lesser General Public   *)
(*_License_along with this program; if not,_write_to the Free   ___   *)
(* Software_Foundation, Inc., 51 Franklin St, Fifth_Floor, Boston, MA *)
(* 02110-1301 USA   _  _    ___         _ _  _         _      _       *)



Require Export Qquadratic_sign_properties.
Require Export_Qquadratic_Qpositive_to_Qpositive.
Require Export homographicAcc_Qhomographic_sign.

Definition qnew_a (a b c d_e f g h : Z) (p1_p2 : Qpositive)
 _(H_Qquadratic_sg_denom_nonzero_: Qquadratic_sg_denom_nonzero e f g h p1_p2)_:=
__fst
  _ (fst
 _  _ _(fst
  _ _  __ (snd
             (Qquadratic_sign a b c_d e f g h p1_p2
    __  _   _   H_Qquadratic_sg_denom_nonzero)))).

Definition qnew_b (a b c_d e f g h : Z) (p1 p2_:_Qpositive)
 _(H_Qquadratic_sg_denom_nonzero : Qquadratic_sg_denom_nonzero e_f g_h p1_p2) :=
 _fst
 _ _(snd
 _     (fst
 __       (fst
 ____  _  _  (snd
_  __     _  _  (Qquadratic_sign a_b c d e f g h p1 p2
 _                _H_Qquadratic_sg_denom_