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Proof-golf is a competition to prove a particular theorem/statement using the fewest number of substitutions/steps given a set of axioms.
5
votes
(-a) × (-a) = a × a
25 steps
Note: based on the question, I'm assuming that the rules of logic (including equality) are implied and do not count towards the total step count. That is, things like "if x=y, then y=x" and …