actually I would think my problem is quite easy to solve but it seems like it don't use the right keywords for my search.
I want to map two sets via an "intermediate set". So let's say I have three sets: a, b and c. And I have two more sets which map a with b and b with c. What I now want is one additional set, which is a mapping of a and c, based on the two existing mappings.
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Sets a / j1*j2 /
b / k1*k3 /
c / h1*h3 /
ab(a,b) / j1.k1, j2.k2, j2.k3 /
bc(b,c) / k1.h1, k1.h2, k2.h3 /
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Set ac(a,c) / j1.h1, j1.h2, j2.h3 /
Benj