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TPABcd
BEcCd
ANNEAB+NEcd+NOMEABcd+SScdAB defn:tarski_parallel
NEAB
NEcd
SScdAB
ANCOABp+COABr+BEcpq+BEdrq+NCABc+NCABd defn:sameside
COABp
COABr
BEcpq
BEdrq
NECd lemma:betweennotequal
BEqrd axiom:betweennesssymmetry
BEdCc axiom:betweennesssymmetry
BEqpc axiom:betweennesssymmetry
COqpc defn:collinear
EQpr assumption
COqrd defn:collinear
COqpc defn:collinear
COqpd cn:equalitysub
NEqp lemma:betweennotequal
COpcd lemma:collinear4
COcdp lemma:collinearorder
MEABcd defn:meet
NOMEABcd
NEpr reductio
NCABc
NCABd
NCprc lemma:NChelper
NCprd lemma:NChelper
NCrdp lemma:NCorder
COqrd defn:collinear
COrdq lemma:collinearorder
EQdd cn:equalityreflexive
COrdd defn:collinear
NEqd lemma:betweennotequal
NCqdp lemma:NChelper
NCqpd lemma:NCorder
EQcp assumption
EQpc lemma:equalitysymmetric
COprc defn:collinear
NCprc
NEcp reductio
COqpc
EQpp cn:equalityreflexive
COqpp defn:collinear
NCcpd lemma:NChelper
COcpq lemma:collinearorder
EQcc cn:equalityreflexive
COcpc defn:collinear
NEqc lemma:betweennotequal
NCqcd lemma:NChelper
BEqpc axiom:betweennesssymmetry
ANBEqEC+BEdEp postulate:Pasch-inner
BEdEp
BEpEd axiom:betweennesssymmetry
BEqrd axiom:betweennesssymmetry
NCqdp
ANBEqFE+BEpFr postulate:Pasch-inner
BEpFr
COprF defn:collinear
COBrp lemma:collinear4
COBAp lemma:collinearorder
NEBA lemma:inequalitysymmetric
COBpr lemma:collinearorder
COBpA lemma:collinearorder
COABC assumption
COcCd defn:collinear
COcdC lemma:collinearorder
NEcd
NEAB
MEABcd defn:meet
NOMEABcd
NCABC reductio
BEqEC
BEqFE
BEqFC lemma:3.6b
BECFq axiom:betweennesssymmetry
BEdrq
NOSSCdAB assumption
NEBp assumption
COprA lemma:collinear4
COApr lemma:collinearorder
COApB lemma:collinearorder
BEdrq
COABr
NEAp assumption
COprB lemma:collinear4
COABF lemma:collinear5
SSCdAB defn:sameside
EQAp reductio
COArF cn:equalitysub
COrAF lemma:collinearorder
COrAB lemma:collinearorder
EQrA assumption
EQrp cn:equalitysub
NEpr lemma:betweennotequal
NErp lemma:inequalitysymmetric
NErA reductio
COAFB lemma:collinear4
COABF lemma:collinearorder
SSCdAB defn:sameside
EQBp reductio
NEAp cn:equalitysub
EQAA cn:equalityreflexive
COBAA defn:collinear
COBAp lemma:collinearorder
COBAr lemma:collinearorder
COApr lemma:collinear5
COprB lemma:collinearorder
COprA lemma:collinearorder
COABF lemma:collinear5
SSCdAB defn:sameside
SSCdAB reductio
MEABCd assumption
ANNEAB+NECd+COABR+COCdR defn:meet
COABR
COCdR
COcCd defn:collinear
COCdc lemma:collinearorder
NECd lemma:betweennotequal
COdcR lemma:collinear4
COcdR lemma:collinearorder
MEABcd defn:meet
NOMEABcd
NOMEABCd reductio
ANNEAB+NECd+NOMEABCd+SSCdAB
TPABCd defn:tarski_parallel
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