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TRABC
TRDEF
EAABCDEF
EABCAEFD
EEBCEF
NCABC defn:triangle
EQAB assumption
 COABC defn:collinear
NEAB  reductio
NEBA  lemma:inequalitysymmetric
EQBC assumption
 COABC defn:collinear
NEBC reductio
NECB lemma:inequalitysymmetric
EQAC assumption
 COABC defn:collinear
NEAC reductio
NECA  lemma:inequalitysymmetric
LTDEAB  assumption
 EEABBA  cn:equalityreverse
 LTDEBA  lemma:lessthancongruence
 ANBEBGA+EEBGDE  defn:lessthan
 BEBGA
 NEBG  lemma:betweennotequal
 EEBGDE
 EEBGED  lemma:congruenceflip
 RABAG  lemma:ray4
 EQCC  cn:equalityreflexive
 RABCC  lemma:ray4
 EEGCGC  cn:congruencereflexive
 EQBB      cn:equalityreflexive
 EQGG      cn:equalityreflexive
 RABGG    lemma:ray4
 EEBGBG    cn:congruencereflexive
 EEBCBC    cn:congruencereflexive
 EAABCGBC  defn:equalangles
 EAGBCABC  lemma:equalanglessymmetric
 EAGBCDEF  lemma:equalanglestransitive
 ANEEGCDF+EABGCEDF+EABCGEFD  proposition:04
 EABCGEFD
 EAEFDBCA  lemma:equalanglessymmetric
 EABCGBCA  lemma:equalanglestransitive
 EABCABCG  lemma:equalanglessymmetric
 RACBB    lemma:ray4
 EQAA     cn:equalityreflexive
 RACAA    lemma:ray4
 AOBCABCA  defn:anglelessthan
 NOAOBCABCA  lemma:angletrichotomy
NOLTDEAB reductio
LTABDE  assumption
 EEDEED  cn:equalityreverse
 LTABED  lemma:lessthancongruence
 ANBEEGD+EEEGAB  defn:lessthan
 BEEGD
 EEEGAB
 EEEGBA  lemma:congruenceflip
 NEED lemma:betweennotequal
 RAEDG  lemma:ray4
 EQDD  cn:equalityreflexive
 EQFF  cn:equalityreflexive
 NCDEF   defn:triangle
 EQEF  assumption
  CODEF  defn:collinear
 NEEF  reductio
 RAEFF  lemma:ray4
 EEGFGF  cn:congruencereflexive
 EQEE      cn:equalityreflexive
 EQGG      cn:equalityreflexive
 NEEG lemma:raystrict
 RAEGG    lemma:ray4
 EEEGEG    cn:congruencereflexive
 EEEFEF    cn:congruencereflexive
 EADEFGEF  defn:equalangles
 EAGEFDEF  lemma:equalanglessymmetric
 EADEFABC  lemma:equalanglessymmetric
 EAGEFABC  lemma:equalanglestransitive
 EEEFBC    lemma:congruencesymmetric
 ANEEGFAC+EAEGFBAC+EAEFGBCA  proposition:04
 EAEFGBCA
 EAEFGEFD  lemma:equalanglestransitive
 EAEFDEFG  lemma:equalanglessymmetric
 NCEFG   lemma:equalanglesNC
 EAEFGEFG  lemma:equalanglesreflexive
 NEEF  lemma:angledistinct
 NEFE  lemma:inequalitysymmetric
 RAFEE    lemma:ray4
 NEFD   lemma:angledistinct
 RAFDD    lemma:ray4
 AOEFDEFD  defn:anglelessthan
 NOAOEFDEFD  lemma:angletrichotomy
NOLTABDE reductio
EQDE assumption
 CODEF defn:collinear
 NCDEF defn:triangle
NEDE reductio
NEDE	
EEABDE   lemma:trichotomy1
EEBAED   lemma:congruenceflip
ANEEACDF+EABACEDF+EABCAEFD  proposition:04	
EEACDF
EABACEDF
ANEEABDE+EEACDF+EABACEDF

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