[ 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" ) ] ) [] ] ) ) ]