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BEAHC
NCABC
EAABHHBC
RRPSR
NEBC   lemma:NCdistinct
NEBA   lemma:NCdistinct
ANRABCQ+EEBQBA  lemma:layoff
RABCQ
EEBQBA
TRABC   defn:triangle
EQAA   cn:equalityreflexive
RABAA   lemma:ray4
ANRABHM+BEAMQ lemma:crossbar
RABHM
RABMH     lemma:ray5
BEAMQ
COABH           assumption
 COHAB         lemma:collinearorder
 COAHC         defn:collinear
 COHAC         lemma:collinearorder
 NEAH          lemma:betweennotequal
 NEHA          lemma:inequalitysymmetric
 COABC         lemma:collinear4
NCABH           reductio
EAABHABH  lemma:equalanglesreflexive
EAABHABM   lemma:equalangleshelper
COBCQ     lemma:rayimpliescollinear
COQBC     lemma:collinearorder
EEBABQ    lemma:congruencesymmetric
NEBQ      axiom:nocollapse
NEQB      lemma:inequalitysymmetric
COMBQ  assumption
 COAMQ     defn:collinear
 COMQA     lemma:collinearorder
 COMQB     lemma:collinearorder
 NEMQ      lemma:betweennotequal
 COQAB     lemma:collinear4
 COQBA     lemma:collinearorder
 COBCA     lemma:collinear4
 COABC     lemma:collinearorder
 NCABC
NCMBQ      reductio
COHBC      assumption
 COHCB      lemma:collinearorder
 COAHC     defn:collinear
 COHCA     lemma:collinearorder
 NEHC      lemma:betweennotequal
 COCBA     lemma:collinear4
 COABC     lemma:collinearorder
NCHBC       reductio
EAHBCHBC   lemma:equalanglesreflexive
EAHBCMBQ   lemma:equalangleshelper
EAABMABH  lemma:equalanglessymmetric
EAABMHBC  lemma:equalanglestransitive
EAABMMBQ   lemma:equalanglestransitive
NCQBM      lemma:NCorder
EAQBMMBQ   lemma:ABCequalsCBA
EAMBQQBM   lemma:equalanglessymmetric
EAABMQBM   lemma:equalanglestransitive
EEBABQ     lemma:congruencesymmetric
EEBMBM     cn:congruencereflexive
EEAMQM     proposition:04
BEQMA      axiom:betweennesssymmetry
EEQMAM     lemma:congruencesymmetric
EEBABQ     lemma:congruencesymmetric
EEABQB     lemma:congruenceflip
EEQBAB     lemma:congruencesymmetric
EQMB       assumption
 COAMQ      defn:collinear
 COABQ     cn:equalitysub
 COQBC     
 COQBA     lemma:collinearorder
 NEQB 
 COBCA     lemma:collinear4
 COABC     lemma:collinearorder     
NEMB       reductio
RRQMB      defn:rightangle
LTQMQB     lemma:legsmallerhypotenuse
NCQMB      lemma:NCorder
TRQMB      defn:triangle
AOMBQQMB   proposition:18 
EAPSRQMB   lemma:Euclid4
AOMBQPSR  lemma:angleorderrespectscongruence
EAMBAMBQ   lemma:equalanglesflip
AOMBAPSR   lemma:angleorderrespectscongruence2
EAABMABH
EAABHABM   lemma:equalanglessymmetric
NCQBM
NCMBQ     lemma:NCorder
COAMQ      defn:collinear
COQMA      lemma:collinearorder
COABM     assumption
 COAMB     lemma:collinearorder
 COAMQ     defn:collinear
 NEAM      lemma:betweennotequal
 COMBQ     lemma:collinear4
NCABM    reductio
EAABMMBA    lemma:ABCequalsCBA
EAABHMBA   lemma:equalanglestransitive
AOABHPSR   lemma:angleorderrespectscongruence2


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