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TRABC  
BEAEC
RABAU
RABCV
NCABC  defn:triangle
EQBE  assumption
 BEABC  assumption
  COABC  defn:collinear
 NOBEABC reductio
 BEAEC
 BEABC  cn:equalitysub
NEBE  reductio
EQBA  assumption
 EQAB  lemma:equalitysymmetric
 COABC  defn:collinear
NEBA reductio
EQBC  assumption
 COABC  defn:collinear
NEBC reductio
NEBU lemma:raystrict
NEBV lemma:raystrict
ANBEBAP+EEAPBU lemma:extension
ANBEBCQ+EECQBV lemma:extension
BEBCQ
COBQA  assumption
 COQBA  lemma:collinearorder
 COBCQ  defn:collinear
 COQBC  lemma:collinearorder
 NEBQ  lemma:betweennotequal
 NEQB  lemma:inequalitysymmetric
 COBAC  lemma:collinear4
 COABC  lemma:collinearorder
 NCABC
NCBQA reductio
ANBEAFQ+BEBEF postulate:Pasch-outer
BEAFQ
BEBEF
BEBAP
BEQFA  axiom:betweennesssymmetry
COBPQ   assumption
 COPBQ  lemma:collinearorder
 COBAP defn:collinear
 COPBA  lemma:collinearorder
 NEBP  lemma:betweennotequal
 NEPB  lemma:inequalitysymmetric
 COBQA lemma:collinear4
 NCBQA
NCBPQ reductio
ANBEQWP+BEBFW postulate:Pasch-outer
BEBFW
BEBEW lemma:3.6b
RABAU
ANBEJBU+BEJBA  defn:ray
BEJBA
BEJBU
EEAPPA  cn:equalityreverse
EEAPBU  
EEBUAP  lemma:congruencesymmetric
EEBUPA  lemma:congruencetransitive
EEPABU  lemma:congruencesymmetric
BEPAB   axiom:betweennesssymmetry
LTBUPB  defn:lessthan
EEPBBP  cn:equalityreverse
LTBUBP  lemma:lessthancongruence
ANBEBSP+EEBSBU  defn:lessthan
BEBSP
EEBSBU
BEJBP  lemma:3.7b
BEJBS axiom:innertransitivity
EQSU  lemma:extensionunique
BEBUP cn:equalitysub
ANBEKBV+BEKBC  defn:ray
BEKBC
BEKBV
EECQBV
EEBVCQ lemma:congruencesymmetric
EECQQC cn:equalityreverse
EEBVQC lemma:congruencetransitive
EEQCBV lemma:congruencesymmetric
BEQCB axiom:betweennesssymmetry
LTBVQB defn:lessthan
EEQBBQ  cn:equalityreverse
LTBVBQ  lemma:lessthancongruence
ANBEBRQ+EEBRBV  defn:lessthan
BEBRQ
EEBRBV
BEKBQ  lemma:3.7b
BEKBR axiom:innertransitivity
EQRV  lemma:extensionunique
BEBVQ cn:equalitysub
BEBVQ
BEQWP
COQPB  assumption
 COBPQ lemma:collinearorder
 NCBPQ
NCQPB reductio
ANBEQMU+BEBMW postulate:Pasch-inner
BEQMU 
BEUMQ  axiom:betweennesssymmetry
COUQB assumption
 COBUP  defn:collinear
 COBUQ  lemma:collinearorder
 NEBU  lemma:betweennotequal
 COUBP  lemma:collinearorder
 COUBQ  lemma:collinearorder
 NEUB lemma:inequalitysymmetric
 COBPQ lemma:collinear4
 COQPB lemma:collinearorder
 NCQPB
NCUQB reductio
ANBEUHV+BEBHM postulate:Pasch-inner
BEUHV
NEBE
EQEB assumption
EQBE lemma:equalitysymmetric
NEEB  reductio
ANBEEBN+EEBNBE lemma:extension
BEEBN
BENBE  axiom:betweennesssymmetry
BEBMW
BEBHM
BEBHW  lemma:3.6b
BENBE
BEBEW
BENBW lemma:3.7b
BENBH  axiom:innertransitivity
RABEH  defn:ray
ANRABEH+BEUHV

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