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

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