Initial work

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Closure of a relation R is the smallest relation containing R and meeting a property
EG. reflexive closure of R (on A) is R | { (a, a) | a \in A }
symmetric closure of R is R | mirror(R)
Equivalent: R is reflexive, symmetric, and transitive - f(x) = f(y) for some function f
Equivalence classes: sets of values which R considers equivalent
disjoint, nonempty subsets of domain