[ BlockLemma
    ( SourcePos
        { sourceName = "test/examples/formula.tex"
        , sourceLine = Pos 1
        , sourceColumn = Pos 1
        }
    )
    ( Marker "formula_test_forall" )
    ( Lemma []
        ( Quantified Universally
            ( Scope
                ( Connected Conjunction
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "x" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "x" )
                            )
                        ]
                    )
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "y" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "y" )
                            )
                        ]
                    )
                )
            )
        )
    )
, BlockLemma
    ( SourcePos
        { sourceName = "test/examples/formula.tex"
        , sourceLine = Pos 5
        , sourceColumn = Pos 1
        }
    )
    ( Marker "formula_test_exists" )
    ( Lemma []
        ( Quantified Existentially
            ( Scope
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateRelation
                            ( Symbol "=" )
                        )
                    )
                    [ TermVar
                        ( B
                            ( NamedVar "x" )
                        )
                    , TermVar
                        ( B
                            ( NamedVar "y" )
                        )
                    ]
                )
            )
        )
    )
, BlockLemma
    ( SourcePos
        { sourceName = "test/examples/formula.tex"
        , sourceLine = Pos 9
        , sourceColumn = Pos 1
        }
    )
    ( Marker "formula_test_not_exists" )
    ( Lemma []
        ( Connected Equivalence
            ( Quantified Existentially
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "x" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "y" )
                            )
                        ]
                    )
                )
            )
            ( Not
                ( Quantified Existentially
                    ( Scope
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "neq" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            ]
                        )
                    )
                )
            )
        )
    )
]