[ BlockClaim Proposition
    ( Location
        { locFile = "test/examples/formula.tex"
        , locLine = 1
        , locColumn = 1
        }
    ) Nothing
    ( Marker "formula_test_forall" )
    ( Claim []
        ( StmtFormula
            { formula = FormulaQuantified
                ( Location
                    { locFile = "test/examples/formula.tex"
                    , locLine = 2
                    , locColumn = 6
                    }
                ) Universally
                ( NamedVar "x" :|
                    [ NamedVar "y" ]
                ) Unbounded
                ( Connected
                    ( Location
                        { locFile = "test/examples/formula.tex"
                        , locLine = 2
                        , locColumn = 20
                        }
                    ) Conjunction
                    ( FormulaChain
                        ( ChainBase
                            ( ExprVar
                                ( NamedVar "x" ) :| []
                            ) Positive
                            ( Relation
                                ( Location
                                    { locFile = "test/examples/formula.tex"
                                    , locLine = 2
                                    , locColumn = 22
                                    }
                                )
                                ( RelationSymbol
                                    ( Symbol "=" )
                                    ( ParameterArity 0 )
                                    ( Marker "eq" )
                                ) []
                            )
                            ( ExprVar
                                ( NamedVar "x" ) :| []
                            )
                        )
                    )
                    ( FormulaChain
                        ( ChainBase
                            ( ExprVar
                                ( NamedVar "y" ) :| []
                            ) Positive
                            ( Relation
                                ( Location
                                    { locFile = "test/examples/formula.tex"
                                    , locLine = 2
                                    , locColumn = 33
                                    }
                                )
                                ( RelationSymbol
                                    ( Symbol "=" )
                                    ( ParameterArity 0 )
                                    ( Marker "eq" )
                                ) []
                            )
                            ( ExprVar
                                ( NamedVar "y" ) :| []
                            )
                        )
                    )
                )
            }
        )
    )
, BlockClaim Proposition
    ( Location
        { locFile = "test/examples/formula.tex"
        , locLine = 5
        , locColumn = 1
        }
    ) Nothing
    ( Marker "formula_test_exists" )
    ( Claim []
        ( StmtFormula
            { formula = FormulaQuantified
                ( Location
                    { locFile = "test/examples/formula.tex"
                    , locLine = 6
                    , locColumn = 6
                    }
                ) Existentially
                ( NamedVar "x" :|
                    [ NamedVar "y" ]
                ) Unbounded
                ( FormulaChain
                    ( ChainBase
                        ( ExprVar
                            ( NamedVar "x" ) :| []
                        ) Positive
                        ( Relation
                            ( Location
                                { locFile = "test/examples/formula.tex"
                                , locLine = 6
                                , locColumn = 22
                                }
                            )
                            ( RelationSymbol
                                ( Symbol "=" )
                                ( ParameterArity 0 )
                                ( Marker "eq" )
                            ) []
                        )
                        ( ExprVar
                            ( NamedVar "y" ) :| []
                        )
                    )
                )
            }
        )
    )
, BlockClaim Proposition
    ( Location
        { locFile = "test/examples/formula.tex"
        , locLine = 9
        , locColumn = 1
        }
    ) Nothing
    ( Marker "formula_test_not_exists" )
    ( Claim []
        ( StmtConnected
            { conn = Equivalence
            , mloc = Nothing
            , stmt1 = StmtFormula
                { formula = FormulaQuantified
                    ( Location
                        { locFile = "test/examples/formula.tex"
                        , locLine = 10
                        , locColumn = 6
                        }
                    ) Existentially
                    ( NamedVar "x" :|
                        [ NamedVar "y" ]
                    ) Unbounded
                    ( FormulaChain
                        ( ChainBase
                            ( ExprVar
                                ( NamedVar "x" ) :| []
                            ) Positive
                            ( Relation
                                ( Location
                                    { locFile = "test/examples/formula.tex"
                                    , locLine = 10
                                    , locColumn = 22
                                    }
                                )
                                ( RelationSymbol
                                    ( Symbol "=" )
                                    ( ParameterArity 0 )
                                    ( Marker "eq" )
                                ) []
                            )
                            ( ExprVar
                                ( NamedVar "y" ) :| []
                            )
                        )
                    )
                }
            , stmt2 = StmtNeg
                { loc = Location
                    { locFile = "test/examples/formula.tex"
                    , locLine = 10
                    , locColumn = 42
                    }
                , stmt = StmtFormula
                    { formula = FormulaQuantified
                        ( Location
                            { locFile = "test/examples/formula.tex"
                            , locLine = 10
                            , locColumn = 47
                            }
                        ) Existentially
                        ( NamedVar "x" :| [] ) Unbounded
                        ( FormulaChain
                            ( ChainBase
                                ( ExprVar
                                    ( NamedVar "x" ) :| []
                                ) Positive
                                ( Relation
                                    ( Location
                                        { locFile = "test/examples/formula.tex"
                                        , locLine = 10
                                        , locColumn = 60
                                        }
                                    )
                                    ( RelationSymbol
                                        ( Command "neq" )
                                        ( ParameterArity 0 )
                                        ( Marker "neq" )
                                    ) []
                                )
                                ( ExprVar
                                    ( NamedVar "x" ) :| []
                                )
                            )
                        )
                    }
                }
            }
        )
    )
]