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TPABCD
ANNEAB+NECD+NOMEABCD+SSCDAB defn:tarski_parallel
NEAB
NECD
NOMEABCD
SSCDAB
ANCOABa+COABb+BECae+BEDbe+NCABC+NCABD defn:sameside
COABa
COABb
BECae
BEDbe
COCae  defn:collinear
CODbe  defn:collinear
NEae  lemma:betweennotequal
NECe lemma:betweennotequal
NEDe  lemma:betweennotequal
NEeD  lemma:inequalitysymmetric
EQab  assumption
 COCae
 CODae cn:equalitysub
 COaeC lemma:collinearorder
 COaeD lemma:collinearorder
 COeCD lemma:collinear4
 COeDC  lemma:collinearorder
 COeDb  lemma:collinearorder
 CODCb   lemma:collinear4
 COCDb   lemma:collinearorder
 COABb
 MEABCD  defn:meet
 NOMEABCD
NEab reductio
COCeD assumption
 COCea  lemma:collinearorder
 COeDa  lemma:collinear4
 COeDC  lemma:collinearorder
 CODCa  lemma:collinear4
 COCDa  lemma:collinearorder
 COABa
 MEABCD  defn:meet
 NOMEABCD 
NCCeD  reductio
BECae
BEDbe
ANBECMb+BEDMa  postulate:Pasch-inner
BECMb
BEDMa
BEaMD  axiom:betweennesssymmetry
EQCC  cn:equalityreflexive
COCDC  defn:collinear
EQDD cn:equalityreflexive
COCDD defn:collinear
ANNEAB+NECD+COABa+COABb+NEab+COCDC+COCDD+NECD+NOMEABCD+BEaMD+BECMb
PRABCD  defn:parallel

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