[ BlockLemma ( SourcePos { sourceName = "test/examples/proofassume.tex" , sourceLine = Pos 1 , sourceColumn = Pos 1 } ) ( Marker "assumetest" ) ( Lemma [] ( Connected Implication ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) ) ) , BlockProof ( SourcePos { sourceName = "test/examples/proofassume.tex" , sourceLine = Pos 4 , sourceColumn = Pos 1 } ) ( Assume ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) ( Have ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) JustificationEmpty ( Qed JustificationEmpty ) ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/proofassume.tex" , sourceLine = Pos 9 , sourceColumn = Pos 1 } ) ( Marker "assumetesttwo" ) ( Lemma [] ( Connected Implication ( Connected Conjunction ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "a" ) , TermVar ( NamedVar "b" ) ] ) ) ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) ) ) , BlockProof ( SourcePos { sourceName = "test/examples/proofassume.tex" , sourceLine = Pos 12 , sourceColumn = Pos 1 } ) ( Assume ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "a" ) , TermVar ( NamedVar "b" ) ] ) ( Assume ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) ( Have ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "y" ) ] ) JustificationEmpty ( Qed JustificationEmpty ) ) ) ) ]