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CIJGPQ
ONAJ
ONBJ
NEAB
MIADB
ONCJ
ONEJ
PACEABD
SSCGAB
MICFE
BECDE
ANBEADB+EEADDB  defn:midpoint
BEADB
EEADDB
ANBECFE+EECFFE defn:midpoint
BECFE
EECFFE
EECFEF   lemma:congruenceflip
BEEFC    axiom:betweennesssymmetry
EEEFCF   lemma:congruencesymmetric
EEADBD   lemma:congruenceflip
EEBDAD   lemma:congruencesymmetric
EEGAPQ   axiom:circle-center-radius
EEGBPQ   axiom:circle-center-radius
EEGEPQ   axiom:circle-center-radius
EEGAPQ   axiom:circle-center-radius
EEPQGB   lemma:congruencesymmetric
EEGAGB   lemma:congruencetransitive
EEAGBG   lemma:congruenceflip
EEBGAG   lemma:congruencesymmetric
BEBDA    axiom:betweennesssymmetry
EEDBAD   lemma:congruencesymmetric
EEBDAD   lemma:congruenceflip
EEPQGB
EEGAGB   lemma:congruencetransitive
EEAGBG   lemma:congruenceflip
ANCOCED+COABD+COABH+RRHDC  defn:perpat
COABD
COABH
RRHDC
EEGCPQ   axiom:circle-center-radius
EEGEPQ   axiom:circle-center-radius
EEPQGE   lemma:congruencesymmetric
EEGCGE   lemma:congruencetransitive
EEGEGC   lemma:congruencesymmetric
EEEGGC   lemma:congruenceflip
RRCDH   lemma:8.2
NEDH  defn:rightangle
NEHD  lemma:inequalitysymmetric
NEAB  lemma:betweennotequal
COBDH lemma:collinear4
COHDB lemma:collinearorder
NEDB lemma:betweennotequal
NEBD  lemma:inequalitysymmetric
RRBDC  lemma:collinearright
EQDG  assumption
 SSCGAB
 SSCDAB cn:equalitysub
 SSDCAB lemma:samesidesymmetric
 BECDE 
 COADB defn:collinear
 COABD lemma:collinearorder
 NCABC  defn:sameside
 OSCABE defn:oppositeside
 OSDABE lemma:planeseparation
 NCABD  defn:oppositeside
 COADB  defn:collinear
 COABD  lemma:collinearorder
NEDG reductio
RRBDG     defn:rightangle
RRBDC 
SSCGBA  lemma:samesidesymmetric
COADB  defn:collinear
COBAD  lemma:collinearorder
NEDB   lemma:betweennotequal
NEBD   lemma:inequalitysymmetric
SSCGBD  lemma:samesidecollinear
SSGCBD lemma:samesidesymmetric
RADGC    lemma:erectedperpendicularunique
ORBEDCG|EQGC|BEDGC  lemma:ray1
cases COCDG:BEDCG|EQGC|BEDGC
 case 1:BEDCG
  CODCG  defn:collinear
  COCDG  lemma:collinearorder
 qedcase
 case 2:EQGC
  COGCD defn:collinear
  COCDG  lemma:collinearorder
 qedcase
 case 3:BEDGC
  CODGC defn:collinear
  COCDG lemma:collinearorder
 qedcase
COCDG cases
COCED   
COCDE    lemma:collinearorder
NCHDC    lemma:rightangleNC
NECD     lemma:NCdistinct
CODGE    lemma:collinear4
CODEG    lemma:collinearorder
COCFE    defn:collinear
COCEF    lemma:collinearorder
COCED
NECE   lemma:betweennotequal
COEFD    lemma:collinear4
CODEF   lemma:collinearorder
cases COEFG:NEDE|EQDE
 case 1:NEDE
  COEGF   lemma:collinear4
  COEFG    lemma:collinearorder  
 qedcase
 case 2:EQDE
  COCDG
  COCEG  cn:equalitysub
  COCFE  defn:collinear
  COCEF  lemma:collinearorder
  NECE   lemma:betweennotequal
  COEGF  lemma:collinear4
  COEFG  lemma:collinearorder
 qedcase
COEFG cases
RRGDB  lemma:8.2
RRBDC  lemma:collinearright
RRCDB  lemma:8.2
NEGF  assumption
 BEEFC
 EEEFCF
 EEGEPQ
 EEGCPQ
 EEPQGC  lemma:congruencesymmetric
 EEGEGC  lemma:congruencetransitive
 EEEGCG   lemma:congruenceflip
 NEFG  lemma:inequalitysymmetric
 RREFG  defn:rightangle
 NCEFG  lemma:rightangleNC
EQGF   reductio
  

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