The paper "A further simplification of Tarski's axioms of geometry" by Timothy 
Makarios is at:
https://arxiv.org/abs/1306.0066 .  It tweaks the axioms to allow "another of 
the axioms to be omitted from the set of axioms and proven as a theorem."  In 
particular, by tweaking one axiom, another axiom turns into a provable theorem.

Would it be useful to do this in set.mm?

--- David A. Wheeler

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