)abbrev domain SUCH SuchThat
++ Description:
++ This domain implements "such that" forms
SuchThat(S1, S2) : Cat == Capsule where
    E ==> OutputForm
    S1, S2 : SetCategory

    Cat == SetCategory with
        construct : (S1, S2) -> %
                ++ construct(s, t) makes a form s: t
        lhs : % -> S1
                ++ lhs(f) returns the left side of f
        rhs : % -> S2
                ++ rhs(f) returns the right side of f

    Capsule == add
        Rep := Record(obj : S1, cond : S2)
        construct(o, c) == [o, c]$Record(obj : S1, cond : S2)
        lhs st == st.obj
        rhs st == st.cond
        coerce(w) : E == infix("|"::Symbol::E, w.obj::E, w.cond::E)

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