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Matching two patterns?

Can two patterns be matched with each other, to find if they

What I mean is that  { _, 1} matches {1, _ } in the sense that there
are lists that fit both, in this case {1,1}.
However, { _, 1} doesn't match { _, 2} in the sense that no list can
fit both.

For lists it seems easy to write a function that does that, but I
wondered if such a function already exists and can it be more general?



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