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Diffstat (limited to 'test/golden/union/parsing.golden')
| -rw-r--r-- | test/golden/union/parsing.golden | 406 |
1 files changed, 406 insertions, 0 deletions
diff --git a/test/golden/union/parsing.golden b/test/golden/union/parsing.golden new file mode 100644 index 0000000..391f039 --- /dev/null +++ b/test/golden/union/parsing.golden @@ -0,0 +1,406 @@ +[ BlockAxiom + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 1 + , sourceColumn = Pos 1 + } + ) + ( Marker "ext" ) + ( Axiom + [ AsmSuppose + ( SymbolicQuantified Universally + ( NamedVar "a" :| [] ) Unbounded Nothing + ( StmtConnected Equivalence + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprVar + ( NamedVar "A" ) :| [] + ) + ) + ) + ) + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprVar + ( NamedVar "B" ) :| [] + ) + ) + ) + ) + ) + ) + ] + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "A" ) :| [] + ) Positive + ( RelationSymbol + ( Symbol "=" ) + ) + ( ExprVar + ( NamedVar "B" ) :| [] + ) + ) + ) + ) + ) +, BlockAxiom + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 6 + , sourceColumn = Pos 1 + } + ) + ( Marker "union_defn" ) + ( Axiom + [ AsmLetNoun + ( NamedVar "A" :| + [ NamedVar "B" ] + ) NounPhrase ( [] ) + ( Noun + ( SgPl + { sg = + [ Just + ( Word "set" ) + ] + , pl = + [ Just + ( Word "sets" ) + ] + } + ) [] + ) ( Nothing ) ( [] ) ( Nothing ) + ] + ( StmtConnected Equivalence + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprVar + ( NamedVar "B" ) + ] :| [] + ) + ) + ) + ) + ( StmtConnected Disjunction + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprVar + ( NamedVar "A" ) :| [] + ) + ) + ) + ) + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprVar + ( NamedVar "B" ) :| [] + ) + ) + ) + ) + ) + ) + ) +, BlockLemma + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 11 + , sourceColumn = Pos 1 + } + ) + ( Marker "union_comm" ) + ( Lemma [] + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprVar + ( NamedVar "B" ) + ] :| [] + ) Positive + ( RelationSymbol + ( Symbol "=" ) + ) + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "B" ) + , ExprVar + ( NamedVar "A" ) + ] :| [] + ) + ) + ) + ) + ) +, BlockLemma + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 15 + , sourceColumn = Pos 1 + } + ) + ( Marker "union_assoc" ) + ( Lemma [] + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprVar + ( NamedVar "B" ) + ] + , ExprVar + ( NamedVar "C" ) + ] :| [] + ) Positive + ( RelationSymbol + ( Symbol "=" ) + ) + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "B" ) + , ExprVar + ( NamedVar "C" ) + ] + ] :| [] + ) + ) + ) + ) + ) +, BlockProof + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 18 + , sourceColumn = Pos 1 + } + ) + ( Have Nothing + ( SymbolicQuantified Universally + ( NamedVar "a" :| [] ) Unbounded Nothing + ( StmtConnected Implication + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprVar + ( NamedVar "B" ) + ] + , ExprVar + ( NamedVar "C" ) + ] :| [] + ) + ) + ) + ) + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "B" ) + , ExprVar + ( NamedVar "C" ) + ] + ] :| [] + ) + ) + ) + ) + ) + ) JustificationEmpty + ( Have Nothing + ( SymbolicQuantified Universally + ( NamedVar "a" :| [] ) Unbounded Nothing + ( StmtConnected Implication + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "B" ) + , ExprVar + ( NamedVar "C" ) + ] + ] :| [] + ) + ) + ) + ) + ( StmtFormula + ( FormulaChain + ( ChainBase + ( ExprVar + ( NamedVar "a" ) :| [] + ) Positive + ( RelationSymbol + ( Command "in" ) + ) + ( ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprOp + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + [ ExprVar + ( NamedVar "A" ) + , ExprVar + ( NamedVar "B" ) + ] + , ExprVar + ( NamedVar "C" ) + ] :| [] + ) + ) + ) + ) + ) + ) JustificationEmpty ( Qed JustificationEmpty ) + ) + ) +]
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