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AOABCDEF
AODEFPQR
ANBEUWV+RAQPU+RAQRV+EADEFPQW   defn:anglelessthan
RAQPU
RAQRV
EADEFPQW
EAPQWDEF   lemma:equalanglessymmetric
NEQW    lemma:angledistinct
EADEFPQW
EQWW          cn:equalityreflexive
RAQWW         lemma:ray4   
RAQWW         
EADEFUQW       lemma:equalangleshelper     
EAUQWDEF      lemma:equalanglessymmetric     
AOABCUQW       lemma:angleorderrespectscongruence	
ANBESHT+RAQUS+RAQWT+EAABCUQH defn:anglelessthan
RAQPU    
RAQUP      lemma:ray5  
RAQUS   
EAABCUQH
NEQH         lemma:angledistinct
EQHH          cn:equalityreflexive
RAQHH        lemma:ray4      
EAABCPQH     lemma:equalangleshelper
EADEFUQW
RAQUP
RAQWT
EADEFPQT     lemma:equalangleshelper
NCPQT        lemma:equalanglesNC
BESHT
RAQPU
NEQP   lemma:ray2
RAQTW         lemma:ray5
COSQT   assumption
 COQUS   lemma:rayimpliescollinear
 COUQS  lemma:collinearorder
 RAQPU
 COQPU  lemma:rayimpliescollinear
 COUQP  lemma:collinearorder
 NEQU   lemma:raystrict
 NEUQ   lemma:inequalitysymmetric
 COQSP   lemma:collinear4
 COSQP   lemma:collinearorder
 NEQS   lemma:raystrict
 NESQ   lemma:inequalitysymmetric
 COQTP  lemma:collinear4
 COPQT  lemma:collinearorder
NCSQT  reductio
TRSQT   defn:triangle
RAQSU   lemma:ray5
RAQTW
ANRAQHK+BEUKW  lemma:crossbar
RAQHK
BEUKW
BEUWV
BEUKV      lemma:3.6b  
EAABCPQH
EQPP       cn:equalityreflexive
RAQPP       lemma:ray4
EAABCPQK    lemma:equalangleshelper
AOABCPQR      defn:anglelessthan

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