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COABC
OREQAB|EQAC|EQBC|BEBAC|BEABC|BEACB defn:collinear
cases COBCA:EQAB|EQAC|EQBC|BEBAC|BEABC|BEACB
case 1: EQAB
EQBA lemma:equalitysymmetric
COBCA defn:collinear
qedcase
case 2: EQAC
EQCA lemma:equalitysymmetric
COBCA defn:collinear
qedcase
case 3: EQBC
COBCA defn:collinear
qedcase
case 4: BEBAC
COBCA defn:collinear
qedcase
case 5: BEABC
BECBA axiom:betweennesssymmetry
COBCA defn:collinear
qedcase
case 6: BEACB
BEBCA axiom:betweennesssymmetry
COBCA defn:collinear
qedcase
COBCA cases

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