[ BlockLemma ( SourcePos { sourceName = "test/examples/byRef.tex" , sourceLine = Pos 1 , sourceColumn = Pos 1 } ) ( Marker "prop1" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "a" ) , TermVar ( NamedVar "a" ) ] ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/byRef.tex" , sourceLine = Pos 5 , sourceColumn = Pos 1 } ) ( Marker "prop2" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "b" ) , TermVar ( NamedVar "b" ) ] ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/byRef.tex" , sourceLine = Pos 9 , sourceColumn = Pos 1 } ) ( Marker "prop3" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "c" ) , TermVar ( NamedVar "c" ) ] ) ) , BlockProof ( SourcePos { sourceName = "test/examples/byRef.tex" , sourceLine = Pos 12 , sourceColumn = Pos 1 } ) ( Qed ( JustificationRef ( Marker "prop1" :| [] ) ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/byRef.tex" , sourceLine = Pos 16 , sourceColumn = Pos 1 } ) ( Marker "prop4" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "e" ) , TermVar ( NamedVar "e" ) ] ) ) , BlockProof ( SourcePos { sourceName = "test/examples/byRef.tex" , sourceLine = Pos 19 , sourceColumn = Pos 1 } ) ( Have ( Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "d" ) ) , TermVar ( B ( NamedVar "d" ) ) ] ) ) ) ( JustificationRef ( Marker "prop1" :| [] ) ) ( Qed JustificationEmpty ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/byRef.tex" , sourceLine = Pos 23 , sourceColumn = Pos 1 } ) ( Marker "prop5" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "f" ) , TermVar ( NamedVar "f" ) ] ) ) ]