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\title{\$SPAD/src/algebra suchthat.spad}
\author{Timothy Daly}
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\begin{abstract}
\end{abstract}
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\section{domain SUCH SuchThat}
<<domain SUCH SuchThat>>=
)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("|"::E, w.obj::E, w.cond::E)

@
\section{License}
<<license>>=
--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--All rights reserved.
--
--Redistribution and use in source and binary forms, with or without
--modification, are permitted provided that the following conditions are
--met:
--
--    - Redistributions of source code must retain the above copyright
--      notice, this list of conditions and the following disclaimer.
--
--    - Redistributions in binary form must reproduce the above copyright
--      notice, this list of conditions and the following disclaimer in
--      the documentation and/or other materials provided with the
--      distribution.
--
--    - Neither the name of The Numerical ALgorithms Group Ltd. nor the
--      names of its contributors may be used to endorse or promote products
--      derived from this software without specific prior written permission.
--
--THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
--IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
--TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
--PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
--OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
--EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
--PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
--PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
--LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
--NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
--SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
@
<<*>>=
<<license>>
 
<<domain SUCH SuchThat>>
@
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