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RRABC
RRABH
EEBCBH
ANBEABD+EEABDB+EEACDC+NEBC   defn:rightangle
BEABD
EEABDB
ANBEABF+EEABFB+EEAHFH+NEBH   defn:rightangle
BEABF
EEABFB
EEAHFH
EEDBAB  lemma:congruencesymmetric
EEDBFB  lemma:congruencetransitive
EEBFBD  lemma:doublereverse  
EQFD   lemma:extensionunique
EEAHDH  cn:equalitysub
cases EEACAH:EQCH|NECH
 case 1:EQCH
  EEACAC cn:congruencereflexive
  EEACAH cn:equalitysub
 qedcase
 case 2:NECH
  ANBECMH+EEMCMH   proposition:10
  BECMH
  EEMCMH
  EECBHB  lemma:doublereverse
  cases EEACAH:EQBM|NEBM
   case 1:EQBM
    RRABC
    RRCBA  lemma:8.2
    BECBH  cn:equalitysub
    EEMCMH
    EEBCBH  cn:equalitysub
    EECBBH  lemma:congruenceflip
    EECAHA  lemma:rightreverse
    EEACAH lemma:congruenceflip
   qedcase
   case 2:NEBM
    NEMB  lemma:inequalitysymmetric
    BECMH
    EECMHM  lemma:congruenceflip
    EECBHB
    RRCMB  defn:rightangle
    RRBMC  lemma:8.2
    EEACDC
    EEAHDH
    BECMH
    EECACD  lemma:congruenceflip
    EEHAHD  lemma:congruenceflip
    EECMCM  cn:congruencereflexive
    EEMHMH  cn:congruencereflexive
    EEMAMD lemma:interior5
    EEAMDM  lemma:congruenceflip
    NEBM     lemma:inequalitysymmetric
    BEABD
    EEABDB
    EEAMDM
    RRABM    defn:rightangle
    BECMH
    EEMCMH
    BEABD
    EEBABD  lemma:congruenceflip
    RRMBA   lemma:8.2
    RRBMC
    EECAHD  lemma:linereflectionisometry
    EEACDH  lemma:congruenceflip
    RRABH
    BEABD
    EEABBD  lemma:congruenceflip
    EEAHDH  lemma:rightreverse
    EEDHAH  lemma:congruencesymmetric 
    EECAHD  lemma:congruenceflip
    EEHDHA  lemma:congruenceflip
    EECAHA  lemma:congruencetransitive
    EEACAH  lemma:congruenceflip
   qedcase
  EEACAH cases
 qedcase
EEACAH cases
 

  

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