test/golden/russell/glossing.golden


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[ BlockDefn
    ( SourcePos
        { sourceName = "test/examples/russell.tex"
        , sourceLine = Pos 1
        , sourceColumn = Pos 1
        }
    )
    ( Marker "universal_set" )
    ( DefnPredicate []
        ( PredicateAdj
            [ Just
                ( Word "universal" )
            ]
        )
        ( NamedVar "V" :| [] )
        ( Quantified Universally
            ( Scope
                ( Connected Implication ( PropositionalConstant IsTop )
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Command "in" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "x" )
                            )
                        , TermVar
                            ( F
                                ( TermVar
                                    ( NamedVar "V" )
                                )
                            )
                        ]
                    )
                )
            )
        )
    )
, BlockLemma
    ( SourcePos
        { sourceName = "test/examples/russell.tex"
        , sourceLine = Pos 7
        , sourceColumn = Pos 1
        }
    )
    ( Marker "no_universal_set" )
    ( Lemma []
        ( Not
            ( Quantified Existentially
                ( Scope
                    ( Connected Conjunction ( PropositionalConstant IsTop )
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( FreshVar 0 )
                                )
                            ]
                        )
                    )
                )
            )
        )
    )
, BlockProof
    ( SourcePos
        { sourceName = "test/examples/russell.tex"
        , sourceLine = Pos 10
        , sourceColumn = Pos 1
        }
    )
    ( ByContradiction
        ( Take
            ( NamedVar "V" :| [] )
            ( Connected Conjunction ( PropositionalConstant IsTop )
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateAdj
                            [ Just
                                ( Word "universal" )
                            ]
                        )
                    )
                    [ TermVar
                        ( NamedVar "V" )
                    ]
                )
            ) JustificationEmpty
            ( Define
                ( NamedVar "R" )
                ( TermSep
                    ( NamedVar "x" )
                    ( TermVar
                        ( NamedVar "V" )
                    )
                    ( Scope
                        ( Not
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B () )
                                , TermVar
                                    ( B () )
                                ]
                            )
                        )
                    )
                )
                ( Have
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( NamedVar "R" )
                            , TermVar
                                ( NamedVar "R" )
                            ]
                        )
                        ( Not
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( NamedVar "R" )
                                , TermVar
                                    ( NamedVar "R" )
                                ]
                            )
                        )
                    ) JustificationEmpty
                    ( Have ( PropositionalConstant IsBottom ) JustificationEmpty ( Qed JustificationEmpty ) )
                )
            )
        )
    )
]