Sindbad~EG File Manager

NEAB
EECADA
EECBDB
SSCDAB
NCABC  defn:sameside
PACFABF proposition:12
ANCOCFF+COABF+COABH+RRHFC defn:perpat
COABF
COABH
EQCF  assumption
 COABC  cn:equalitysub
NECF reductio
NECF
NEFC  lemma:inequalitysymmetric
ANBECFE+EEFEFC  lemma:extension
BECFE
EEFEFC
cases EEACAE:EQAF|NEAF
 case 1:EQAF
  EEFEFC
  EEAEAC  cn:equalitysub
  EEACAE  lemma:congruencesymmetric
 qedcase
 case 2:NEAF
  COABF
  COABH
  NEBA   lemma:inequalitysymmetric
  COBAF lemma:collinearorder
  COBAH  lemma:collinearorder
  COAFH  lemma:collinear4
  COHFA  lemma:collinearorder
  RRHFC
  RRAFC  lemma:collinearright
  RRCFA  lemma:8.2
  ANBECFP+EECFPF+EECAPA+NEFA  defn:rightangle
  EECAPA
  BECFE
  BECFP
  EECFPF
  EEFEFC
  EEFECF  lemma:congruenceflip
  EEFEPF  lemma:congruencetransitive
  EEFEFP  lemma:congruenceflip
  EQEP   lemma:extensionunique
  EECAEA  cn:equalitysub
  EEACAE  lemma:congruenceflip
 qedcase
EEACAE cases
cases EEBCBE:EQBF|NEBF
 case 1:EQBF
  EEFEFC
  EEBEBC  cn:equalitysub
  EEBCBE  lemma:congruencesymmetric
 qedcase
 case 2:NEBF
  COABF
  COBAF  lemma:collinearorder
  COBAH   lemma:collinearorder
  NEAB    
  COABF lemma:collinearorder
  COABH  lemma:collinearorder
  COBFH  lemma:collinear4
  COHFB  lemma:collinearorder
  RRHFC
  RRBFC  lemma:collinearright
  RRCFB  lemma:8.2
  ANBECFP+EECFPF+EECBPB+NEFB  defn:rightangle
  EECBPB
  BECFE
  BECFP
  EECFPF
  EEFEFC
  EEFECF  lemma:congruenceflip
  EEFEPF  lemma:congruencetransitive
  EEFEFP  lemma:congruenceflip
  EQEP   lemma:extensionunique
  EECBEB  cn:equalitysub
  EEBCBE  lemma:congruenceflip
 qedcase
EEBCBE cases
OSCABE    defn:oppositeside
SSDCAB    lemma:samesidesymmetric
OSDABE    lemma:planeseparation
ANBEDGE+COABG+NCABD  defn:oppositeside
BEDGE
COABG
EEACAE
EECADA   
EEEACA  lemma:doublereverse
EEAECA  lemma:congruenceflip
EEAEDA  lemma:congruencetransitive
EEAEAD  lemma:congruenceflip
EEADAE  lemma:congruencesymmetric
EEBDBC  lemma:doublereverse
EEBDBE  lemma:congruencetransitive
EEAGAG  cn:congruencereflexive
EEGBGB  cn:congruencereflexive
COABG
OREQAB|EQAG|EQBG|BEBAG|BEABG|BEAGB  defn:collinear
cases EEGDGE:EQAB|EQAG|EQBG|BEBAG|BEABG|BEAGB
 case 1:EQAB
  NOEEGDGE  assumption
  NEAB
  EEGDGE  reductio
 qedcase
 case 2:EQAG
  EEADAE lemma:congruencesymmetric
  EEGDGE cn:equalitysub
 qedcase
 case 3:EQBG
  EEBDBE
  EEGDGE cn:equalitysub
 qedcase
 case 4:BEBAG
  EEBABA  cn:congruencereflexive
  EEAGAG  cn:congruencereflexive
  EEBDBE
  EEADAE  lemma:congruencesymmetric
  EEDGEG  axiom:5-line
  EEGDGE  lemma:congruenceflip
 qedcase
 case 4:BEABG
  EEABAB cn:congruencereflexive
  EEBGBG cn:congruencereflexive
  EEADAE 
  EEBDBE  
  EEDGEG axiom:5-line
  EEGDGE lemma:congruenceflip
 qedcase
 case 5:BEAGB
  EEAGAG  cn:congruencereflexive
  EEGBGB  cn:congruencereflexive
  EEADAE
  EEBDBE
  EEGDGE lemma:interior5
 qedcase
EEGDGE cases
EEBDBE
EEDAEA  lemma:congruenceflip
cases EQFG:EQAG|NEAG
 case 1:EQAG
  BEEGD  axiom:betweennesssymmetry
  EEEGDG  lemma:doublereverse
  EEEBDB  lemma:doublereverse
  EQGB   assumption
   EQAB  cn:equalitysub
  NEGB   reductio
  RREGB  defn:rightangle
  BEEFC axiom:betweennesssymmetry
  EEEFCF lemma:doublereverse
  EEEBCB lemma:doublereverse
  EQFB  assumption
   EEAEAD lemma:congruenceflip
   NEBA   lemma:inequalitysymmetric
   BEEAD  cn:equalitysub
   EEEADA lemma:congruenceflip
   EEEBDB
   NEAB
   RREAB   defn:rightangle
   RRBAE   lemma:8.2
   BEEBC   cn:equalitysub
   EEEBCB
   EEEACA
   NEBA 
   RREBA   defn:rightangle
   ANBEBAJ+EEAJAB  lemma:extension
   BEBAJ
   RABAJ   lemma:ray4
   RREBJ   lemma:8.3
   RRJBE   lemma:8.2
   COABJ   defn:collinear
   RREAB
   COBAJ   lemma:collinearorder
   RRBAE  lemma:8.2
   NEAJ    lemma:betweennotequal
   NEJA    lemma:inequalitysymmetric
   RRJAE   lemma:collinearright
   RRJBE
   COJAB   lemma:collinearorder
   EQAB    lemma:droppedperpendicularunique
   NEAB
  NEFB  reductio
  RREFB  defn:rightangle
  RRBGE  lemma:8.2
  RRBFE  lemma:8.2
  COABG
  COABF
  NEAB
  COBGF lemma:collinear4
  EQGF  lemma:droppedperpendicularunique
  EQFG  lemma:equalitysymmetric
 qedcase
 case 2:NEAG
  cases EQFG:EQAF|NEAF
   case 1:EQAF
    NEFB  cn:equalitysub
    EEEFCF  lemma:congruenceflip
    EEEBCB  lemma:doublereverse
    BEEFC   axiom:betweennesssymmetry
    RREFB   defn:rightangle
    RRBFE lemma:8.2
    EQBG  assumption
	  EEBEBD  lemma:congruencesymmetric
	  BEEGD  axiom:betweennesssymmetry
	  BEEBD  cn:equalitysub
	  EEEBDB lemma:congruenceflip
	  EEEADA  lemma:congruencesymmetric
	  NEBA   lemma:inequalitysymmetric
	  RREBA   defn:rightangle
	  RRABE   lemma:8.2
	  BEEAC   cn:equalitysub
	  EEEACA
	  EEEBCB
	  RREAB   defn:rightangle
	  ANBEABK+EEBKBA  lemma:extension
	  BEABK
	  RAABK  lemma:ray4
	  RREAK   lemma:8.3
	  RRKAE   lemma:8.2
	  COBAK   defn:collinear
	  RREBA
	  COABK   lemma:collinearorder
	  RRABE  lemma:8.2
	  NEBK    lemma:betweennotequal
	  NEKB   lemma:inequalitysymmetric
	  RRKBE   lemma:collinearright
	  RRKAE
	  COKBA   lemma:collinearorder
	  EQBA    lemma:droppedperpendicularunique
	  NEAB
	  NEBA   lemma:inequalitysymmetric
	NEBG  reductio
	NEGB  lemma:inequalitysymmetric
    EEEGDG  lemma:doublereverse  
    EEEBDB  lemma:doublereverse 
    BEEGD     axiom:betweennesssymmetry
    RREGB    defn:rightangle
    RRBGE    lemma:8.2
    COABG  
    COFBG  cn:equalitysub
    COBGF  lemma:collinearorder
    EQGF  lemma:droppedperpendicularunique
    EQFG   lemma:equalitysymmetric
   qedcase
   case 2:NEAF
    NEFA   lemma:inequalitysymmetric
    EEEACA
    EEEFCF  lemma:doublereverse
    BEEFC  axiom:betweennesssymmetry
    RREFA   defn:rightangle 
    RRAFE   lemma:8.2
    BEEGD    axiom:betweennesssymmetry
    EEEGDG   lemma:doublereverse
    EEEADA  lemma:congruencesymmetric
    NEGA    lemma:inequalitysymmetric
    RREGA   defn:rightangle
    RRAGE   lemma:8.2
    COABF
    COABG
    COBAF  lemma:collinearorder
    COBAG   lemma:collinearorder
    NEBA    lemma:inequalitysymmetric
    COAFG   lemma:collinear4
    EQFG  lemma:droppedperpendicularunique
   qedcase
  EQFG cases
 qedcase
EQFG cases 
EEBFBF  cn:congruencereflexive
EEAFAG  cn:equalitysub
COAFB   lemma:collinearorder
NEAB
EEAFAG
EEFBFB cn:congruencereflexive
EEFBGB  cn:equalitysub
EEACAD  lemma:congruenceflip
EEBCBD  lemma:congruenceflip
EEABAB cn:congruencereflexive
EEFCGD  lemma:fiveline
EEFCFD  cn:equalitysub
BEEFC   axiom:betweennesssymmetry
BEEGD  axiom:betweennesssymmetry
BEEFD  cn:equalitysub
RAFDC  defn:ray
EQDD   cn:equalityreflexive
EQFD  assumption
 COABF  lemma:collinearorder
 COABD  cn:equalitysub
 NCABD
NEFD  reductio
RAFDD  lemma:ray4
EQCD   lemma:layoffunique