I just want to check that the method I am using for the composition of relations is right.
If a pair in R (z,y) and a pair in S (x,z) then (x,y) yield and become a pair in SoR?
2026-03-28 11:42:44.1774698164
Composition of relations - check my method
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Correct. Easy check is to view the pairs as two things that have to connect to each other
Put them in the order of the relations in the compositions, i.e $S$ pair before $R$ pair:
$(x,z)(z,y)$ Are the two "inner elements" equal? Yes as $z=z$. Then the outer elements $x,y$ form a pair $(x,y)$ in the composition $S \circ R$