  Based on an ordering with directed lines and using constructions instead of
existential axioms, von Plato proposed a constructive axiomatization of the
ordered affine geometry. There are 22 axioms for the ordered affine geometry,
of which the axiom I.7 is about the convergence of three lines (ignoring their
directions). In this paper, we indicate that the axiom I.7 includes much
redundancy, and demonstrate that the complicated axiom I.7 can be replaced
equivalently with a simpler and more intuitive new axiom via a theorem prover.
