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|
[ BlockAxiom
( SourcePos
{ sourceName = "test/examples/finite-set-terms.tex"
, sourceLine = Pos 1
, sourceColumn = Pos 1
}
)
( Marker "cons" )
( Axiom []
( StmtConnected Equivalence
( StmtFormula
( FormulaChain
( ChainBase
( ExprVar
( NamedVar "x" ) :| []
) Positive
( RelationSymbol
( Command "in" )
) []
( ExprOp
[ Just
( Command "cons" )
, Just InvisibleBraceL
, Nothing
, Just InvisibleBraceR
, Just InvisibleBraceL
, Nothing
, Just InvisibleBraceR
]
[ ExprVar
( NamedVar "y" )
, ExprVar
( NamedVar "X" )
] :| []
)
)
)
)
( StmtConnected Disjunction
( StmtFormula
( FormulaChain
( ChainBase
( ExprVar
( NamedVar "x" ) :| []
) Positive
( RelationSymbol
( Symbol "=" )
) []
( ExprVar
( NamedVar "y" ) :| []
)
)
)
)
( StmtFormula
( FormulaChain
( ChainBase
( ExprVar
( NamedVar "x" ) :| []
) Positive
( RelationSymbol
( Command "in" )
) []
( ExprVar
( NamedVar "X" ) :| []
)
)
)
)
)
)
)
, BlockDefn
( SourcePos
{ sourceName = "test/examples/finite-set-terms.tex"
, sourceLine = Pos 5
, sourceColumn = Pos 1
}
)
( Marker "unit" )
( DefnOp
( SymbolPattern
[ Just
( Command "unit" )
] []
)
( ExprFiniteSet
( ExprOp
[ Just
( Command "emptyset" )
] [] :| []
)
)
)
, BlockLemma
( SourcePos
{ sourceName = "test/examples/finite-set-terms.tex"
, sourceLine = Pos 9
, sourceColumn = Pos 1
}
)
( Marker "emptyset_in_unit" )
( Lemma []
( StmtFormula
( FormulaChain
( ChainBase
( ExprOp
[ Just
( Command "emptyset" )
] [] :| []
) Positive
( RelationSymbol
( Command "in" )
) []
( ExprOp
[ Just
( Command "unit" )
] [] :| []
)
)
)
)
)
]
|