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AOABCDEF
EAPQRDEF
ANBEGHJ+RAEDG+RAEFJ+EAABCDEH defn:anglelessthan
BEGHJ
RAEDG
RAEFJ
EAABCDEH
ANNEPQ+NEQR+NEPR+NEDE+NEEF+NEDF    lemma:angledistinct
NEPQ
NEQR
NEQP    lemma:inequalitysymmetric
ANNEAB+NEBC+NEAC+NEDE+NEEH+NEDH  lemma:angledistinct
NEEG  lemma:raystrict
ANRAQPU+EEQUEG   lemma:layoff
EEQUEG
NEEJ  lemma:raystrict
ANRAQRV+EEQVEJ  lemma:layoff
EEQVEJ
EEGHGH    cn:congruencereflexive
LTGHGJ    defn:lessthan  
RAQPU
RAQRV
EADEFPQR   lemma:equalanglessymmetric
EADEFUQV   lemma:equalangleshelper
RAEDG
RAEFJ
EAUQVDEF   lemma:equalanglessymmetric
EAUQVGEJ   lemma:equalangleshelper
EAGEJUQV   lemma:equalanglessymmetric 
EAGEJUQV
EEEGQU    lemma:congruencesymmetric
EEEJQV    lemma:congruencesymmetric
ANEEGJUV+EAEGJQUV+EAEJGQVU  proposition:04
EEGJUV
EAEGJQUV
EEUVGJ    lemma:congruencesymmetric
LTGHGJ    
NEGJ     lemma:betweennotequal 
ANBEUWV+EEUWGH  proposition:03
BEUWV
EEUWGH
RAEDG  
EQHH     cn:equalityreflexive 
NEEH 
RAEHH    lemma:ray4
EAABCGEH lemma:equalangleshelper
NCGEH   lemma:equalanglesNC
NCGHE   lemma:NCorder
NEUV     lemma:betweennotequal
RAUVW    lemma:ray4
EQQQ     cn:equalityreflexive
EQEE     cn:equalityreflexive
NCUQV  lemma:equalanglesNC
NEUQ  lemma:NCdistinct
RAUQQ    lemma:ray4
EQGE  assumption
 COGHE  defn:collinear
NEGE  reductio
RAGEE    lemma:ray4
EAEGJQUW  lemma:equalangleshelper
EAQUWEGJ  lemma:equalanglessymmetric
RAGJH    lemma:ray4
EAQUWEGH  lemma:equalangleshelper
EAEGHQUW  lemma:equalanglessymmetric
NCQUW    lemma:equalanglesNC
NCUWQ  lemma:NCorder
NCHGE   lemma:NCorder
COWUQ    assumption
COUWQ    lemma:collinearorder
NCWUQ    reductio
EEGHUW    lemma:congruencesymmetric
EEGEUQ    lemma:congruenceflip
EAQUWEGH
EAEGHQUW   lemma:equalanglessymmetric
NCQUW
EAQUWWUQ   lemma:ABCequalsCBA
EAEGHWUQ   lemma:equalanglestransitive
EAHGEEGH    lemma:ABCequalsCBA
EAHGEWUQ    lemma:equalanglestransitive
ANEEHEWQ+EAGHEUWQ+EAGEHUQW   proposition:04
EAGEHUQW
EAABCGEH  
EAABCUQW   lemma:equalanglestransitive
EQWW      cn:equalityreflexive
EQQW    assumption
 COQUW   defn:collinear
 COWUQ   lemma:collinearorder
NEQW    reductio
RAQWW     lemma:ray4
RAQUP      lemma:ray5
EAABCPQW    lemma:equalangleshelper
RAQPU    
RAQRV      
BEUWV
AOABCPQR  defn:anglelessthan
 




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