[ BlockLemma ( SourcePos { sourceName = "test/examples/calc.tex" , sourceLine = Pos 1 , sourceColumn = Pos 1 } ) ( Marker "trivial" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "x" ) ] ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/calc.tex" , sourceLine = Pos 5 , sourceColumn = Pos 1 } ) ( Marker "irrelevant" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "z" ) , TermVar ( NamedVar "z" ) ] ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/calc.tex" , sourceLine = Pos 9 , sourceColumn = Pos 1 } ) ( Marker "alsotrivial" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] ) ) , BlockProof ( SourcePos { sourceName = "test/examples/calc.tex" , sourceLine = Pos 12 , sourceColumn = Pos 1 } ) ( Calc ( Equation ( TermVar ( NamedVar "y" ) ) ( ( TermVar ( NamedVar "y" ) , JustificationEmpty ) :| [ ( TermVar ( NamedVar "y" ) , JustificationRef ( Marker "trivial" :| [] ) ) ] ) ) ( Qed JustificationEmpty ) ) , BlockLemma ( SourcePos { sourceName = "test/examples/calc.tex" , sourceLine = Pos 22 , sourceColumn = Pos 1 } ) ( Marker "trivial_biconditionals" ) ( Lemma [] ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] ) ) , BlockProof ( SourcePos { sourceName = "test/examples/calc.tex" , sourceLine = Pos 25 , sourceColumn = Pos 1 } ) ( Calc ( Biconditionals ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] ) ( ( PropositionalConstant IsTop , JustificationEmpty ) :| [ ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] , JustificationRef ( Marker "trivial" :| [] ) ) ] ) ) ( Qed JustificationEmpty ) ) ]