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[ BlockLemma
    ( Location
        { locFile = "test/examples/no-reflexive-set.tex"
        , locLine = 1
        , locColumn = 1
        }
    )
    ( Marker "in_irrefl" )
    ( Lemma []
        ( StmtQuantPhrase
            { pos = Location
                { locFile = "test/examples/no-reflexive-set.tex"
                , locLine = 2
                , locColumn = 5
                }
            , qp = QuantPhrase Universally NounPhrase ( [] )
                ( Noun
                    ( SgPl
                        { sg =
                            [ Just
                                ( Word "set" )
                            ]
                        , pl =
                            [ Just
                                ( Word "sets" )
                            ]
                        }
                    ) []
                )
                (
                    [ NamedVar "A" ]
                ) ( [] ) ( Nothing )
            , stmt = StmtFormula
                { pos = Location
                    { locFile = "test/examples/no-reflexive-set.tex"
                    , locLine = 2
                    , locColumn = 30
                    }
                , formula = FormulaChain
                    ( ChainBase
                        ( ExprVar
                            ( NamedVar "A" ) :| []
                        ) Negative
                        ( RelationSymbol
                            ( Command "in" ) []
                        )
                        ( 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
        }
    )
]