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|
[ BlockAxiom
( SourcePos
{ sourceName = "test/examples/finite-set-terms.tex"
, sourceLine = Pos 1
, sourceColumn = Pos 1
}
)
( Marker "cons" )
( Axiom []
( Connected Equivalence
( TermSymbol
( SymbolPredicate
( PredicateRelation
( Command "in" )
)
)
[ TermVar
( NamedVar "x" )
, TermSymbol
( SymbolMixfix
[ Just
( Command "cons" )
, Just InvisibleBraceL
, Nothing
, Just InvisibleBraceR
, Just InvisibleBraceL
, Nothing
, Just InvisibleBraceR
]
)
[ TermVar
( NamedVar "y" )
, TermVar
( NamedVar "X" )
]
]
)
( Connected Disjunction
( TermSymbol
( SymbolPredicate
( PredicateRelation
( Symbol "=" )
)
)
[ TermVar
( NamedVar "x" )
, TermVar
( NamedVar "y" )
]
)
( TermSymbol
( SymbolPredicate
( PredicateRelation
( Command "in" )
)
)
[ TermVar
( NamedVar "x" )
, TermVar
( NamedVar "X" )
]
)
)
)
)
, BlockDefn
( SourcePos
{ sourceName = "test/examples/finite-set-terms.tex"
, sourceLine = Pos 5
, sourceColumn = Pos 1
}
)
( Marker "unit" )
( DefnOp
[ Just
( Command "unit" )
] []
( TermSymbol
( SymbolMixfix
[ Just
( Command "cons" )
, Just InvisibleBraceL
, Nothing
, Just InvisibleBraceR
, Just InvisibleBraceL
, Nothing
, Just InvisibleBraceR
]
)
[ TermSymbol
( SymbolMixfix
[ Just
( Command "emptyset" )
]
) []
, TermSymbol
( SymbolMixfix
[ Just
( Command "emptyset" )
]
) []
]
)
)
, BlockLemma
( SourcePos
{ sourceName = "test/examples/finite-set-terms.tex"
, sourceLine = Pos 9
, sourceColumn = Pos 1
}
)
( Marker "emptyset_in_unit" )
( Lemma []
( TermSymbol
( SymbolPredicate
( PredicateRelation
( Command "in" )
)
)
[ TermSymbol
( SymbolMixfix
[ Just
( Command "emptyset" )
]
) []
, TermSymbol
( SymbolMixfix
[ Just
( Command "unit" )
]
) []
]
)
)
]
|