> Saveliy, could you please comment on that (is it legal to add a disjoint 
for a and b and what was your intention)?


Yes, it is legal to add or remove disjoints if you need it for the proof. I 
don't have a very good intuition behind disjoint conditions, so it seems I 
missed some in the statements.


> I used mm-lamp, and it has some automation to prove such steps (no need 
to write any code, it is available out of the box). ... Will it not break 
any rules of this initiative, if I show how to prove abaeqb?


Sure, please share the video, it would be very interesting to take a look 
at mm-lamp automation.

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