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EEABab
EEACac
EEBCbc
BEABC
NEAB  lemma:betweennotequal
EEABab  
NEab axiom:nocollapse
NEBC  lemma:betweennotequal
NEbc  axiom:nocollapse
ANBEabd+EEbdbc  lemma:localextension
BEabd
EEbdbc
EEbcbd  lemma:congruencesymmetric
EEbcBC  lemma:congruencesymmetric
EEbdBC  cn:congruencetransitive
EEABab
EEBCbd  lemma:congruencesymmetric
EEBCbc
EEACac
EECCcd  axiom:5-line
EEcdCC  lemma:congruencesymmetric
NEcd   assumption
 NECC  axiom:nocollapse
 EQCC  cn:equalityreflexive
EQcd    reductio
BEabc   cn:equalitysub

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