Sindbad~EG File Manager

PRDCEF
COEFA
NCDCE   lemma:parallelNC
NEDC   lemma:NCdistinct
NECD   lemma:inequalitysymmetric
ANBECDB+EEDBCD  lemma:extension
BECDB
BEBDC   axiom:betweennesssymmetry
NCCEF lemma:parallelNC
NEEF  lemma:NCdistinct
COBCA   assumption
 COCDB  defn:collinear
 COBCD  lemma:collinearorder
 NEBC  lemma:betweennotequal
 COCAD lemma:collinear4
 CODCA lemma:collinearorder
 MEDCEF  defn:meet
 NOMEDCEF defn:parallel
NCBCA reductio
ANBEcAb+EAbADADB+EAbADBDA+EADAbBDA+EAcADADC+EAcADCDA+EADAcCDA+PRcbBC+EEcADC+EEAbBD+EEAMMD+EEcMMC+EEBMMb+BEcMC+BEBMb+BEAMD proposition:31
BEcAb
PRcbBC
BEcMC
BEBMb
BEbMB   axiom:betweennesssymmetry
NCbBC  lemma:parallelNC
ANBEbRD+BECRM  postulate:Pasch-inner
BECRM
BECMc  axiom:betweennesssymmetry
BECRc  lemma:3.6b
BEbAc  axiom:betweennesssymmetry
NCcbC  lemma:parallelNC
NCbcC  lemma:NCorder
ANBEbQR+BECQA  postulate:Pasch-inner
BEbQR
BEbRD
BEbQD  lemma:3.6b
BECQA
COCDB  defn:collinear
COBCD lemma:collinearorder
PRcbDC lemma:collinearparallel
PRDCcb  lemma:parallelsymmetric
COcAb  defn:collinear
COcbA  lemma:collinearorder
NEAb lemma:betweennotequal
PRDCAb lemma:collinearparallel
PRAbDC  lemma:parallelsymmetric
PRbACD  lemma:parallelflip
EEAbBD
EEDBCD
EEBDDB  cn:equalityreverse
EEAbDB  lemma:congruencetransitive
EEAbCD  lemma:congruencetransitive
EEbACD  lemma:congruenceflip
BEbQD  
BEAQC  axiom:betweennesssymmetry
ANPRbCAD+EEbCAD proposition:33
PRbCAD
PRAbCD  lemma:parallelflip
PRADbC lemma:parallelsymmetric
PGAbCD  defn:parallelogram
PRDCAb 
PRDCEF
COEFA
EQEE  cn:equalityreflexive
COEFE  defn:collinear
cases COEFb:EQAF|NEAF
 case 1:EQAF
  PRDCEF
  NEFE  lemma:inequalitysymmetric
  NEAE  cn:equalitysub
  PRDCAE lemma:collinearparallel2
  COAbE  lemma:Playfair
  COFbE  cn:equalitysub
  COEFb  lemma:collinearorder
 qedcase  
 case 2:NEAF
  PRDCAF  lemma:collinearparallel
  COAbF   lemma:Playfair
  COAFb   lemma:collinearorder
  COAFE   lemma:collinearorder
  COFbE lemma:collinear4
  COEFb  lemma:collinearorder
 qedcase
COEFb cases
ANPGAbCD+COEFb