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PRABCD
ANNEAB+NECD+COABa+COABb+NEab+COCDc+COCDd+NEcd+NOMEABCD+BEaMd+BEcMb defn:parallel
NEAB
NECD
COABa
COABb
NEab
COCDc
COCDd
NEcd
NOMEABCD
BEaMd
BEcMb
COBAa  lemma:collinearorder
COBAb  lemma:collinearorder
CODCc  lemma:collinearorder
CODCd  lemma:collinearorder
NEBA  lemma:inequalitysymmetric
NEDC  lemma:inequalitysymmetric
BEdMa  axiom:betweennesssymmetry
BEbMc  axiom:betweennesssymmetry
NEdc  lemma:inequalitysymmetric
NEba  lemma:inequalitysymmetric
MEABDC assumption
 ANNEAB+NEDC+COABP+CODCP  defn:meet
 COABP
 CODCP
 COCDP  lemma:collinearorder
 ANNEAB+NEDC+COABP+COCDP
 MEABCD  defn:meet
NOMEABDC reductio
MEBACD assumption
 ANNEBA+NECD+COBAP+COCDP defn:meet
 COBAP
 COCDP
 COABP lemma:collinearorder
 ANNEAB+NECD+COBAP+COCDP
 MEABCD defn:meet
NOMEBACD reductio
MEBADC assumption
 ANNEBA+NEDC+COBAP+CODCP defn:meet
 COBAP
 CODCP
 COABP lemma:collinearorder
 COCDP  lemma:collinearorder
 ANNEAB+NECD+COABP+COCDP
 MEABCD defn:meet
NOMEBADC reductio
ANNEBA+NECD+COBAa+COBAb+NEba+COCDc+COCDd+NEcd+NOMEBACD+BEaMd+BEcMb
PRBACD  defn:parallel
ANNEAB+NEDC+COABa+COABb+NEab+CODCc+CODCd+NEdc+NOMEABDC+BEaMd+BEcMb
PRABDC  defn:parallel
ANNEBA+NEDC+COBAa+COBAb+NEba+CODCc+CODCd+NEdc+NOMEBADC+BEaMd+BEcMb
PRBADC  defn:parallel
ANPRBACD+PRABDC+PRBADC

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