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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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