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TGAaBbCc
EEDFAa
EEFGBb
BEDFG
EEPQCc
ANBEAaR+EEaRBb+LTCcAR  defn:togethergreater
BEAaR
EEaRBb
LTCcAR
EEBbaR  lemma:congruencesymmetric
EEFGaR  lemma:congruencetransitive
EEDGAR  cn:sumofparts
EEARDG  lemma:congruencesymmetric
EECcPQ  lemma:congruencesymmetric
LTPQAR  lemma:lessthancongruence2
LTPQDG  lemma:lessthancongruence
NEAa    lemma:betweennotequal
NEaR    lemma:betweennotequal
NEBb    axiom:nocollapse
ANBEASR+EEASCc  defn:lessthan
BEASR
EEASCc
NEAS   lemma:betweennotequal
NECc   axiom:nocollapse
ANLTPQDG+NEAa+NEBb+NECc

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