Sindbad~EG File Manager

OSPABC
BERPQ
NCRQC
COABR
ANBEPSC+COABS+NCABP   defn:oppositeside
BEPSC
NCABP
BECSP  axiom:betweennesssymmetry
ANBECFQ+BERSF postulate:Pasch-outer
BECFQ
BERSF
CORSF  defn:collinear
EQAB assumption
 COABP defn:collinear
NEAB reductio
NEBA lemma:inequalitysymmetric
COABR
COABS
COBRS lemma:collinear4
CORSB lemma:collinearorder
NERS  lemma:betweennotequal
COSFB lemma:collinear4
COSBA lemma:collinearorder
COSBF  lemma:collinearorder
cases COABF:EQSB|NESB
 case 1:EQSB
  CORSF defn:collinear
  CORBF cn:equalitysub
  CORBA lemma:collinearorder
  EQRB assumption
   BERSF
   NERS  lemma:betweennotequal
   NERB cn:equalitysub
  NERB reductio
  COBFA  lemma:collinear4
  COABF  lemma:collinearorder
 qedcase
 case 2:NESB
  COBAF lemma:collinear4
  COABF  lemma:collinearorder
 qedcase
COABF cases
COABQ  assumption
 COABR
 COBQR lemma:collinear4
 COBRQ  lemma:collinearorder
 COABR
 COABF
 COBRF lemma:collinear4
 cases CORQF:EQBR|NEBR
  case 1:EQBR
   EQAR assumption
    EQAB cn:equalitysub
   NEAR reductio
   COBAR lemma:collinearorder
   COBAF lemma:collinearorder
   COARF lemma:collinear4
   COBAQ lemma:collinearorder
   COBAR  lemma:collinearorder
   COARQ lemma:collinear4
   CORFQ lemma:collinear4
   CORQF lemma:collinearorder
  qedcase   
  case 2:NEBR
   CORQF lemma:collinear4
  qedcase
 CORQF cases
 COFQR lemma:collinearorder
 COCFQ defn:collinear
 COFQC lemma:collinearorder
 NEFQ  lemma:betweennotequal
 COQRC lemma:collinear4
 CORQC lemma:collinearorder
 NCRQC
NCABQ  reductio
BEQFC axiom:betweennesssymmetry
ANBEQFC+COABF+NCABQ
OSQABC  defn:oppositeside