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RRBAC
RRABD
BECAE
BEDBF
EEACAE
EEBDBF
ANBEBAH+EEBAHA+EEBCHC+NEAC   defn:rightangle
ANBEABG+EEABGB+EEADGD+NEBD  defn:rightangle
BEABG
NEAB   lemma:betweennotequal
ANBEAMB+EEMAMB  proposition:10
BEAMB
EEMAMB
RRDBA   lemma:8.2
NEBA   lemma:inequalitysymmetric
BEBMA  axiom:betweennesssymmetry
RABAM   lemma:ray4
RRDBM   lemma:8.3
NCDBM   lemma:rightangleNC
EQDM  assumption
 CODBM  defn:collinear
NEDM  reductio
NEMD  lemma:inequalitysymmetric
ANBEDMR+EEMRMD  lemma:extension
BEDMR
EEMRMD
BEDBF
EEDBBF   lemma:congruenceflip
CODBF   defn:collinear
NEBF    lemma:betweennotequal
NEFB    lemma:inequalitysymmetric
RRDBA   lemma:8.2
RRFBA   lemma:collinearright
RRFBM   lemma:8.3
NCFBM   lemma:rightangleNC
EQFM  assumption
 COFBM  defn:collinear
NEFM  reductio
NEMF  lemma:inequalitysymmetric
ANBEFMQ+EEMQMF  lemma:extension
BEFMQ
EEMQMF
EEMDMR  lemma:congruencesymmetric
EEDMMR  lemma:congruenceflip
MIDMR   defn:midpoint
EEMFMQ   lemma:congruencesymmetric
EEFMMQ   lemma:congruenceflip
MIFMQ   defn:midpoint
EEMBMA   lemma:congruencesymmetric
EEBMMA   lemma:congruenceflip
BEBMA   axiom:betweennesssymmetry
MIBMA   defn:midpoint
EEFBQA  lemma:pointreflectionisometry
EEBDBF
EEBFFB  cn:equalityreverse
EEBDFB  lemma:congruencetransitive
RRBAC
RRCAB  lemma:8.2
RAABM   lemma:ray4
RRCAM  lemma:8.3
BEQMF  axiom:betweennesssymmetry
BERMD  axiom:betweennesssymmetry
RRDBM
BEDBF
EEDBBF  lemma:congruenceflip
EEDMFM  lemma:rightreverse
EEFMDM  lemma:congruencesymmetric
EEFMMQ  lemma:congruenceflip
EEDMMR
EEQMFM  lemma:congruenceflip
EEQMDM  lemma:congruencetransitive
EEQMMR  lemma:congruencetransitive
EEQMRM  lemma:congruenceflip
EEMFMD  lemma:congruenceflip
RRCAM
BECAE
EECAAE  lemma:congruenceflip
EECMEM  lemma:rightreverse
EEEMCM  lemma:congruencesymmetric
EEMEMC  lemma:congruenceflip
MIDMR   defn:midpoint
MIFMQ   defn:midpoint
EEMBMA  lemma:congruencesymmetric
EEBMMA  lemma:congruenceflip
MIBMA   defn:midpoint
EEFBQA  lemma:pointreflectionisometry
RRDBA
NCDBA   lemma:rightangleNC
NEDB    lemma:NCdistinct
EEDBRA  lemma:pointreflectionisometry
EEDBBF
EEQAFB  lemma:congruencesymmetric
EEBFDB  lemma:congruencesymmetric
EEFBDB  lemma:congruenceflip
EEQADB  lemma:congruencetransitive
EEQARA  lemma:congruencetransitive
EEQAAR  lemma:congruenceflip
MIDMR
MIFMQ
NEDF   lemma:betweennotequal
EEDFRQ  lemma:pointreflectionisometry
EEFDQR  lemma:congruenceflip 
BEFBD   axiom:betweennesssymmetry
EEFBQA
EEBDAR  lemma:congruenceflip
BEQAR   lemma:betweennesspreserved
MIQAR   defn:midpoint
EEEAAC  lemma:doublereverse
BEEAC   axiom:betweennesssymmetry
MIEAC   defn:midpoint
cases EECDEF:NEEQ|EQEQ
 case 1:NEEQ
  EEEQCR  lemma:pointreflectionisometry
  EEQERC  lemma:congruenceflip
  EEMEMC
  EEQMRM
  EEMFMD
  EEEFCD  axiom:5-line
  EECDEF  lemma:congruencesymmetric
 qedcase
 case 2:EQEQ
  MIFME  cn:equalitysub
  MIBMA
  MIDMR
  BEFBD
  NEFB  lemma:betweennotequal
  NEFD  lemma:betweennotequal
  NEBD  lemma:betweennotequal
  EEFBEA  lemma:pointreflectionisometry
  EEBDAR  lemma:pointreflectionisometry
  EEFDER  lemma:pointreflectionisometry
  BEEAR   lemma:betweennesspreserved
  BEEAC axiom:betweennesssymmetry
  EEACAC  cn:congruencereflexive
  EEARBD  lemma:congruencesymmetric
  EEBDBF
  EEARBF  lemma:congruencetransitive
  EEBFAE  lemma:congruenceflip
  EEARAE  lemma:congruencetransitive
  EEAEAC  lemma:congruencesymmetric
  EEARAC  lemma:congruencetransitive
  EQRC    lemma:extensionunique
  CODBF   defn:collinear
  NEBF    lemma:betweennotequal
  NEFB    lemma:inequalitysymmetric
  RRDBM
  RRFBM   lemma:collinearright
  EEFBBD  lemma:congruenceflip
  EEFMDM  lemma:rightreverse
  EEFMMD  lemma:congruenceflip
  EEMDMR  
  EEFMMR  lemma:congruencetransitive
  EEFMMC  cn:equalitysub
  EEDMFM  lemma:congruencesymmetric
  EEFMME  cn:equalitysub
  EEDMME  lemma:congruencetransitive
  EEMCFM  lemma:congruencesymmetric
  EECMFM  lemma:congruenceflip
  EEMDME  lemma:congruenceflip
  BECMD   cn:equalitysub
  BEFME   cn:equalitysub
  EECDFE  cn:sumofparts 
  EECDEF  lemma:congruenceflip
 qedcase
EECDEF cases