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Diffstat (limited to 'test/golden/union/glossing.golden')
| -rw-r--r-- | test/golden/union/glossing.golden | 456 |
1 files changed, 456 insertions, 0 deletions
diff --git a/test/golden/union/glossing.golden b/test/golden/union/glossing.golden new file mode 100644 index 0000000..1925c15 --- /dev/null +++ b/test/golden/union/glossing.golden @@ -0,0 +1,456 @@ +[ BlockAxiom + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 1 + , sourceColumn = Pos 1 + } + ) + ( Marker "ext" ) + ( Axiom + [ Asm + ( Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "A" ) + ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "B" ) + ) + ) + ] + ) + ) + ) + ) + ] + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( NamedVar "A" ) + , TermVar + ( NamedVar "B" ) + ] + ) + ) +, BlockAxiom + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 6 + , sourceColumn = Pos 1 + } + ) + ( Marker "union_defn" ) + ( Axiom + [ Asm ( PropositionalConstant IsTop ) + , Asm ( PropositionalConstant IsTop ) + ] + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( NamedVar "a" ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( NamedVar "A" ) + , TermVar + ( NamedVar "B" ) + ] + ] + ) + ( Connected Disjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( NamedVar "a" ) + , TermVar + ( NamedVar "A" ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( NamedVar "a" ) + , TermVar + ( NamedVar "B" ) + ] + ) + ) + ) + ) +, BlockLemma + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 11 + , sourceColumn = Pos 1 + } + ) + ( Marker "union_comm" ) + ( Lemma [] + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( NamedVar "A" ) + , TermVar + ( NamedVar "B" ) + ] + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( NamedVar "B" ) + , TermVar + ( NamedVar "A" ) + ] + ] + ) + ) +, BlockLemma + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 15 + , sourceColumn = Pos 1 + } + ) + ( Marker "union_assoc" ) + ( Lemma [] + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( NamedVar "A" ) + , TermVar + ( NamedVar "B" ) + ] + , TermVar + ( NamedVar "C" ) + ] + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( NamedVar "A" ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( NamedVar "B" ) + , TermVar + ( NamedVar "C" ) + ] + ] + ] + ) + ) +, BlockProof + ( SourcePos + { sourceName = "test/examples/union.tex" + , sourceLine = Pos 18 + , sourceColumn = Pos 1 + } + ) + ( Have + ( Quantified Universally + ( Scope + ( Connected Implication + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( NamedVar "A" ) + ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "B" ) + ) + ) + ] + , TermVar + ( F + ( TermVar + ( NamedVar "C" ) + ) + ) + ] + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( NamedVar "A" ) + ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( NamedVar "B" ) + ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "C" ) + ) + ) + ] + ] + ] + ) + ) + ) + ) JustificationEmpty + ( Have + ( Quantified Universally + ( Scope + ( Connected Implication + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( NamedVar "A" ) + ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( NamedVar "B" ) + ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "C" ) + ) + ) + ] + ] + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "union" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( NamedVar "A" ) + ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "B" ) + ) + ) + ] + , TermVar + ( F + ( TermVar + ( NamedVar "C" ) + ) + ) + ] + ] + ) + ) + ) + ) JustificationEmpty ( Qed JustificationEmpty ) + ) + ) +]
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