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TRABC
BEBCD
NCABC  defn:triangle
NEBA lemma:NCdistinct
NEAB lemma:inequalitysymmetric
ANBEBAF+EEAFBA lemma:extension
BEBAF
COBAF defn:collinear
COABF  lemma:collinearorder
EQBB  cn:equalityreflexive
COABB defn:collinear
NEBF  lemma:betweennotequal
NEFB lemma:inequalitysymmetric
NCFBC  lemma:NChelper
BEFAB  axiom:betweennesssymmetry
ANBEECH+EAECACAB+PREHFB+BEESB+BECSA  proposition:31short
NEBC lemma:betweennotequal
NECB lemma:inequalitysymmetric
ANBECBG+EEBGCB  lemma:extension
NECA lemma:NCdistinct
ANBECAJ+EEAJCA lemma:extension
NEAC lemma:inequalitysymmetric
ANBEACK+EECKAC lemma:extension
BEACK
ANBEABM+EEBMAB lemma:extension
BEABM
PREHFB
COFBA  lemma:collinearorder
PREHAB  lemma:collinearparallel
BEECH
BEKCA  axiom:betweennesssymmetry
BEESB
BECSA
COCSA defn:collinear
COCAS lemma:collinearorder
NCACB  lemma:NCorder
COACS  lemma:collinearorder
NECS  lemma:betweennotequal
NESC  lemma:inequalitysymmetric
EQCC  cn:equalityreflexive
COACC  defn:collinear
NCSCB  lemma:NChelper
NCBSC  lemma:NCorder
COESB  defn:collinear
COBSE  lemma:collinearorder
EQBB   cn:equalityreflexive
COBSB  defn:collinear
BEBSE  axiom:betweennesssymmetry
NEBE lemma:betweennotequal
NCBEC  lemma:NChelper
COBES  lemma:collinearorder
EQEE  cn:equalityreflexive
COBEE  defn:collinear
NESE  lemma:betweennotequal
NCSEC  lemma:NChelper
NCSCE  lemma:NCorder
COSCC  defn:collinear
COCSA  defn:collinear
COSCA  lemma:collinearorder
NECA lemma:betweennotequal
NCCAE  lemma:NChelper
COABM  defn:collinear
COBAM  lemma:collinearorder
PREHBA lemma:parallelflip
NEAM  lemma:betweennotequal
NEMA  lemma:inequalitysymmetric
PREHMA lemma:collinearparallel 
BEHCE  axiom:betweennesssymmetry
BEMBA  axiom:betweennesssymmetry
BEFAB  axiom:betweennesssymmetry
BEDCB  axiom:betweennesssymmetry
NCBCA  lemma:NCorder
BECSA  
BEBSE
NCACB lemma:NCorder
EQAA  cn:equalityreflexive
NEBE  lemma:betweennotequal
BEECH  axiom:betweennesssymmetry
BEASC  axiom:betweennesssymmetry
NCCAE 
NCCEA   lemma:NCorder 
COCEH   defn:collinear
COCEE   defn:collinear
NEEH lemma:betweennotequal
NEHE  lemma:inequalitysymmetric
NCHEA  lemma:NChelper
NCEHA  lemma:NCorder
ANBEAQH+BEESQ  postulate:Pasch-outer
BEAQH
BEESQ
COESQ  defn:collinear
COSEB  lemma:collinearorder
COSEQ  lemma:collinearorder
NESE   
COEBQ  lemma:collinear4
COBEQ  lemma:collinearorder
NEHE   lemma:betweennotequal
NECE  lemma:betweennotequal
ANBEHEL+EEELCE  lemma:extension
BEHEL
BELEH  axiom:betweennesssymmetry
COLEH  defn:collinear
NELH  lemma:betweennotequal
NEEH  lemma:betweennotequal
BEABM  
COABM  defn:collinear
NEAM  lemma:betweennotequal
NEAB  lemma:betweennotequal
MEAMLH  assumption
 ANNEAM+NELH+COAMc+COLHc  defn:meet
 COAMc
 COLHc
 COHEL  defn:collinear
 COLHE  lemma:collinearorder
 NEHL lemma:betweennotequal
 NELH  lemma:inequalitysymmetric
 COHcE  lemma:collinear4
 COEHc  lemma:collinearorder
 COABM  defn:collinear
 COMAB lemma:collinearorder
 COMAc  lemma:collinearorder
 NEAM  lemma:betweennotequal
 NEMA  lemma:inequalitysymmetric
 COABc lemma:collinear4
 COBAF  defn:collinear
 COABF  lemma:collinearorder
 COBcF  lemma:collinear4
 COFBc  lemma:collinearorder
 ANNEEH+NEFB+COEHc+COFBc
 MEEHFB  defn:meet
 NOMEEHFB  defn:parallel
NOMEAMLH reductio
BEBQE  lemma:collinearbetween
NCAHE  lemma:NCorder
COAQH  defn:collinear
COAHQ  lemma:collinearorder
EQHH  cn:equalityreflexive
COAHH  defn:collinear
NEQH  lemma:betweennotequal
NCQHE  lemma:NChelper
NCQEH  lemma:NCorder
EQEE   cn:equalityreflexive
COQEE  defn:collinear
COQEB  lemma:collinearorder
NCBEH  lemma:NChelper
ANBEBTC+BEHTQ  postulate:Pasch-inner
BEBTC
BEHTQ
BEQTH  axiom:betweennesssymmetry
BEAQH 
BEATH  lemma:3.5b
COBTC   defn:collinear
COCBT  lemma:collinearorder
NCCBA  lemma:NCorder
OSACBH  defn:oppositeside
OSHCBA  lemma:oppositesidesymmetric
PRHEMA  lemma:parallelflip
BEHCE
BEMBA
EAECACAB
EAACEBAC  lemma:equalanglesflip
ANEAHCBCBA+EADCECBA+RTECBCBA  proposition:29
EADCECBA
EACBAABC  lemma:ABCequalsCBA
EADCEABC  lemma:equalanglestransitive
BEBTC
BEBCD
BETCD  lemma:3.6a
NETD lemma:betweennotequal
NCBCA  lemma:NCorder
COBCT  lemma:collinearorder
COBCD  defn:collinear
NCTDA  lemma:NChelper
NCATD  lemma:NCorder
COATA  defn:collinear
COATH  defn:collinear
NEAH  lemma:betweennotequal
NCAHD  lemma:NChelper
NCHAD  lemma:NCorder
BEHTA  axiom:betweennesssymmetry
BEDCT  axiom:betweennesssymmetry
ANBEDRA+BEHCR  postulate:Pasch-outer
BEDRA
BEHCR
RACER defn:ray
RACAA  lemma:ray4
NECD  lemma:betweennotequal
EQDD  cn:equalityreflexive
BEARD  axiom:betweennesssymmetry
EABACACE  lemma:equalanglessymmetric
EABACACR lemma:equalangleshelper
NCCAB  lemma:NCorder
EACABBAC lemma:ABCequalsCBA
EACABACR lemma:equalanglestransitive
BEARD
RACDD   lemma:ray4
EAABCDCE  lemma:equalanglessymmetric
EAABCDCR  lemma:equalangleshelper
NCADH  lemma:NCorder
CODRA  defn:collinear
COADR  lemma:collinearorder
EQDD  cn:equalityreflexive
COADD  defn:collinear
NEDR  lemma:betweennotequal
NERD  lemma:inequalitysymmetric
NCRDH  lemma:NChelper
NCRHD  lemma:NCorder
COHCR  defn:collinear
CORHC  lemma:collinearorder
EQRR   cn:equalityreflexive
CORHR  defn:collinear
NECR  lemma:betweennotequal
NERC  lemma:inequalitysymmetric
NCRCD  lemma:NChelper
NCDCR  lemma:NCorder
EADCRRCD  lemma:ABCequalsCBA
EAABCRCD  lemma:equalanglestransitive
ANEACABACR+EAABCRCD+BEARD
ASCABABCACD  defn:anglesum

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