Sindbad~EG File Manager

COAEB
COCFD
NEAB
NECD
NEAE
NEFD
NOMEABCD
BEAHD
COEFH
EQHE assumption
 COAEB
 COAHB  cn:equalitysub
 COHAB  lemma:collinearorder
 COAHD  defn:collinear
 COHAD  lemma:collinearorder
 NEAH  lemma:betweennotequal
 NEHA   lemma:inequalitysymmetric
 COABD  lemma:collinear4
 EQDD  cn:equalityreflexive
 COCDD  defn:collinear
 MEABCD defn:meet
NEHE reductio
EQHF assumption
 COAHD  defn:collinear
 COAFD  cn:equalitysub
 COFDA  lemma:collinearorder
 COFDC  lemma:collinearorder
 CODAC  lemma:collinear4
 COCDA  lemma:collinearorder
 EQAA   cn:equalityreflexive
 COABA  defn:collinear
 MEABCD defn:meet
NEHF reductio
BEEFH  assumption
 BEDHA  axiom:betweennesssymmetry
 CODAE assumption
  COEAB  lemma:collinearorder
  COEAD lemma:collinearorder
  NEEA  lemma:inequalitysymmetric
  COABD lemma:collinear4
  EQDD   cn:equalityreflexive
  COCDD  defn:collinear
  ANNEAB+NECD+COABD+COCDD
  MEABCD  defn:meet
 NCDAE reductio
 ANBEEQA+BEDFQ  postulate:Pasch-outer
 BEEQA
 BEDFQ
 COEQA  defn:collinear
 CODFQ  defn:collinear
 COEAQ  lemma:collinearorder
 COEAB  lemma:collinearorder
 NEEA  lemma:inequalitysymmetric
 COAQB lemma:collinear4
 COABQ  lemma:collinearorder
 COFDQ lemma:collinearorder
 COFDC  lemma:collinearorder
 CODQC  lemma:collinear4
 COCDQ  lemma:collinearorder
 MEABCD defn:meet
NOBEEFH reductio
BEFEH  assumption
 BEAHD 
 COADF  assumption 
  COFDC  lemma:collinearorder
  COFDA  lemma:collinearorder
  CODCA lemma:collinear4
  COCDA lemma:collinearorder
  EQAA  cn:equalityreflexive
  COABA defn:collinear
  ANNEAB+NECD+COABA+COCDA
  MEABCD  defn:meet
 NCADF  reductio
 ANBEFRD+BEAER  postulate:Pasch-outer
 BEFRD
 BEAER
 COFRD  defn:collinear
 COAER  defn:collinear
 COFDR  lemma:collinearorder
 COFDC  lemma:collinearorder
 CODRC  lemma:collinear4
 COCDR  lemma:collinearorder
 COEAR  lemma:collinearorder
 COEAB  lemma:collinearorder
 NEAE   lemma:betweennotequal
 NEEA   lemma:inequalitysymmetric
 COARB  lemma:collinear4
 COABR  lemma:collinearorder
 MEABCD defn:meet
NOBEFEH reductio
EQEF  assumption
 COCDF  lemma:collinearorder
 COABE  lemma:collinearorder
 COABF  cn:equalitysub
 MEABCD  defn:meet
NEEF reductio
COEFH
OREQEF|EQEH|EQFH|BEFEH|BEEFH|BEEHF  defn:collinear
cases BEEHF:EQEF|EQEH|EQFH|BEFEH|BEEFH|BEEHF
 case 1:EQEF
  NOBEEHF assumption
  NEEF
  BEEHF reductio
 qedcase
 case 2:EQEH
  NOBEEHF assumption
  NEEH  lemma:inequalitysymmetric
  BEEHF reductio
 qedcase
 case 3:EQFH
  NOBEEHF assumption
  NEFH lemma:inequalitysymmetric
  BEEHF reductio
 qedcase
 case 4:BEFEH
  NOBEEHF assumption
  NOBEFEH
  BEEHF reductio
 qedcase
 case 5:BEEFH
  NOBEEHF assumption
  NOBEEFH
  BEEHF reductio
 qedcase
 case 6:BEEHF
 qedcase
BEEHF cases