[ BlockClaim Proposition ( Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 1 , locColumn = 1 } ) Nothing ( Marker "in_irrefl" ) ( Claim [] ( StmtQuantPhrase { loc = Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 2 , locColumn = 5 } , qp = QuantPhrase Universally NounPhrase ( [] ) ( Noun ( Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 2 , locColumn = 13 } ) ( LexicalItemSgPl ( SgPl { sg = TokenCons ( Word "set" ) End , pl = TokenCons ( Word "sets" ) End } ) ( Marker "set" ) ) [] ) ( [ NamedVar "A" ] ) ( [] ) ( Nothing ) , stmt = StmtFormula { formula = FormulaChain ( ChainBase ( ExprVar ( NamedVar "A" ) :| [] ) Negative ( Relation ( Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 2 , locColumn = 36 } ) ( RelationSymbol ( Command "in" ) ( ParameterArity 0 ) ( Marker "elem" ) ) [] ) ( ExprVar ( NamedVar "A" ) :| [] ) ) } } ) ) , BlockProof ( Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 4 , locColumn = 1 } ) ( BySetInduction ( Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 4 , locColumn = 21 } ) Nothing ( Qed ( Just ( Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 10 , locColumn = 5 } ) ) JustificationEmpty ) ) ( Location { locFile = "test/examples/no-reflexive-set.tex" , locLine = 11 , locColumn = 1 } ) ]