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TRabc
MIbec
NCJDK
MIBEC
EEECec
NCREC
ANBEBEC+EEBEEC  defn:midpoint
BEBEC
ANBEbec+EEbeec  defn:midpoint
BEbec
EEbeec
NEBC lemma:betweennotequal
NCabc defn:triangle
NCECR  lemma:NCorder
COBEC  defn:collinear
COECB lemma:collinearorder
EQCC  cn:equalityreflexive
COECC  defn:collinear
NCBCR lemma:NChelper
ANRABCH+EAPBHabc+SSPRBC proposition:23C
RABCH
EAPBHabc
SSPRBC
EEECec
EEBEEC
EEBEec  lemma:congruencetransitive
EEECBE lemma:congruencesymmetric
EEECec  lemma:congruencetransitive
EEBEec lemma:congruencetransitive
EEecbe lemma:congruencesymmetric
EEBEbe  lemma:congruencetransitive
EEBCbc  cn:sumofparts
EAabcPBH lemma:equalanglessymmetric
RABHC   lemma:ray5
NCBCP  defn:sameside
NEBP  lemma:NCdistinct
NCabc  defn:triangle
NEba  lemma:NCdistinct
ANRABPA+EEBAba  lemma:layoff
RABPA
EEBAba
EAabcABC  lemma:equalangleshelper
EAABCabc  lemma:equalanglessymmetric
NCABC  lemma:equalanglesNC
TRABC  defn:triangle
EEACac  proposition:04
EEABab  lemma:congruenceflip
EEBAba
EECAca   lemma:congruenceflip
EEBEbe
EEEAea  lemma:interior5
EEAEae  lemma:congruenceflip
EEABab
EEEBeb  lemma:congruenceflip
COBEC  defn:collinear
COBCE  lemma:collinearorder
NCBCA  lemma:NCorder
EQBB  cn:equalityreflexive
COBCB  defn:collinear
NEBE lemma:betweennotequal
NCBEA  lemma:NChelper
NCAEB lemma:NCorder
CObec defn:collinear
CObce lemma:collinearorder
NCbca  lemma:NCorder
EQbb cn:equalityreflexive
CObcb defn:collinear
NEbe lemma:betweennotequal
NCbea lemma:NChelper
NCaeb lemma:NCorder
TRAEB  defn:triangle
TCAEBaeb  defn:trianglecongruence
ETAEBaeb  axiom:congruentequal
EEACac
EEECec
COCBE lemma:collinearorder
NEEC lemma:betweennotequal
NECE lemma:inequalitysymmetric
NCCBA  lemma:NCorder
EQCC  cn:equalityreflexive
COCBC  defn:collinear
NCCEA  lemma:NChelper
NCAEC  lemma:NCorder
TRAEC  defn:triangle
TCAECaec  defn:trianglecongruence
ETAECaec  axiom:congruentequal
EQEE   cn:equalityreflexive
COAEE  defn:collinear
OSBAEC  defn:oppositeside
EQee  cn:equalityreflexive
COaee  defn:collinear
OSbaec  defn:oppositeside
EFABECabec axiom:paste3
EFabecABEC  axiom:EFsymmetric
ANPGFECG+EFABECFECG+EACEFJDK+COFGA proposition:42
PGFECG
EFABECFECG
EFabecFECG  axiom:EFtransitive
EACEFJDK 
SSPRBC
RABPA
COCBE 
NECE
SSRPBC  lemma:samesidesymmetric
COBBC  defn:collinear
SSRABC  lemma:sameside2
SSRACB lemma:samesideflip
SSRACE lemma:samesidecollinear
SSARCE lemma:samesidesymmetric
SSAREC lemma:samesideflip
COFGA 
COGFA  lemma:collinearorder
PRFGEC  defn:parallelogram
PRECFG  lemma:parallelsymmetric
PRECGF  lemma:parallelflip
cases SSRFEC:EQAF|NEAF
 case 1:EQAF
  SSRAEC  lemma:samesideflip
  SSRFEC  cn:equalitysub
 qedcase
 case 2:NEAF
  PRECAF  lemma:collinearparallel
  PRECFA  lemma:parallelflip
  TPECFA  lemma:paralleldef2B
  SSFAEC   defn:tarski_parallel
  SSFREC   lemma:samesidetransitive
  SSRFEC   lemma:samesidesymmetric
 qedcase
SSRFEC cases
ANPGFECG+EFabecFECG+EACEFJDK+SSRFEC