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BEAMB
EEAPBP
RRAMP
ANBEAMC+EEAMCM+EEAPCP+NEMP   defn:rightangle
BEAMC
EEAMCM
EEAPCP
NEMP
BECMA      axiom:betweennesssymmetry
EECMAM     lemma:congruencesymmetric
EECPAP     lemma:congruencesymmetric
RRCMP      defn:rightangle
RRPMA       lemma:8.2
ANBEPMQ+EEPMQM+EEPAQA+NEMA  defn:rightangle
EEPMQM
EEPAQA
EEQMPM  lemma:congruencesymmetric
EEQMPM
RRPMC   lemma:8.2
RAMCB  defn:ray
RRPMB    lemma:8.3
ANBEPME+EEPMEM+EEPBEB+NEMB  defn:rightangle
EEPMEM
EEPBEB
EEPAPB  lemma:congruenceflip
BEPME
BEPMQ
EEMQPM   lemma:congruenceflip
EEPMMQ   lemma:congruencesymmetric
EEEMPM   lemma:congruencesymmetric
EEEMMQ   lemma:congruencetransitive
EEMEMQ   lemma:congruenceflip
EEMQME   lemma:congruencesymmetric
NEPM     lemma:betweennotequal
EQQE   lemma:extensionunique
EEPBQB   cn:equalitysub
EEAPPB    lemma:congruenceflip
EEAPQB   lemma:congruencetransitive
EEAQAP    lemma:doublereverse
EEAQQB    lemma:congruencetransitive
EEAQBQ    lemma:congruenceflip
EEPQPQ    cn:congruencereflexive
EQAA      cn:equalityreflexive
EQBB      cn:equalityreflexive
NCAMP    lemma:rightangleNC
COAPM    assumption
 COAMP    lemma:collinearorder
NCAPM    reductio
EQAP     assumption
 COAPM   defn:collinear
NEAP    reductio
NEPA    lemma:inequalitysymmetric
RAPAA     lemma:ray4
EQPB  assumption
 EEAPBP  
 EEAPBB  cn:equalitysub
 NEAP assumption
  NEBB  axiom:nocollapse
  EQBB  cn:equalityreflexive
 EQAP    reductio
NEPB  reductio
RAPBB     lemma:ray4
BEPMQ
RAPMQ    lemma:ray4 
ANRAPAA+RAPBB+RAPMQ+RAPMQ+EEPAPB+EEPQPQ+EEAQBQ+NCAPM
EAAPMBPM   defn:equalangles
EEPMPM    cn:congruencereflexive
ANEEAMBM+EAPAMPBM+EAPMAPMB  proposition:04
EEAMBM
EEAMMB    lemma:congruenceflip
ANBEAMB+EEAMMB
MIAMB     defn:midpoint





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