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Use an `\iff`-calc to speed up `union_as_unions`. Also remove `in_implies_neq` which seems to interact badly with the choice axiom used by superposition-based proofs like Vampire in cut-down problems.
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Merge (finally)
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Submission of Formalisation
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in urysohn2.tex line 674 the secound 2 throws an ambiguous parse.
the same definition in line 678 commented without this a does not throe this error.
ambiguous parse: [BlockLemma (SourcePos {sourceName = "set.tex", sourceLine = Pos 129, sourceColumn = Pos 1}) (Marker "empty_eq") (Lemma [] (StmtConnected Implication (StmtVerbPhrase (TermExpr (ExprVar (NamedVar "x")) :| [TermExpr (ExprVar (NamedVar "y"))]) (VPAdj (Adj [Just (Word "empty")] [] :| []))) (StmtFormula (FormulaChain (ChainBase (ExprVar (NamedVar "x") :| []) Positive (RelationSymbol (Symbol "=")) (ExprVar (NamedVar "y") :| [])))))),BlockLemma (SourcePos {sourceName = "set.tex", sourceLine = Pos 129, sourceColumn = Pos 1}) (Marker "empty_eq") (Lemma [] (StmtConnected Implication (StmtConnected Conjunction (StmtVerbPhrase (TermExpr (ExprVar (NamedVar "x")) :| []) (VPVerb (Verb (SgPl {sg = [], pl = []}) []))) (StmtVerbPhrase (TermExpr (ExprVar (NamedVar "y")) :| []) (VPAdj (Adj [Just (Word "empty")] [] :| [])))) (StmtFormula (FormulaChain (ChainBase (ExprVar (NamedVar "x") :| []) Positive (RelationSymbol (Symbol "=")) (ExprVar (NamedVar "y") :| []))))))]
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Since Latex has a really specify syntax for
\begin{cases} ... \end{cases}
The math mode in tokenizing had to be setup correctly.
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In line 137 and 140 of real-topological-space.tex
Line 140 wont get parsed and line 140 will get parsed.
Case matching in Checking.hs is not working as intended.
Case phi@(Atomic p args) -> in line 960 in checking.hs
is not reached in checking of the Fixing with a symbol
Error Massage shows that < will be interpreted as a Term symbol there
not as a predicate.
Error Massage:
zf: MismatchedAssume (TermSymbol (SymbolPredicate (PredicateRelation (Symbol "<"))) [TermVar (NamedVar "c"),TermVar (NamedVar "x")]) (Connected Implication (TermSymbol (SymbolPredicate (PredicateRelation (Command "rless"))) [TermVar (NamedVar "c"),TermVar (NamedVar "x")]) (TermSymbol (SymbolPredicate (PredicateRelation (Command "in"))) [TermVar (NamedVar "c"),TermSymbol (SymbolMixfix [Just (Command "epsBall"),Just InvisibleBraceL,Nothing,Just InvisibleBraceR,Just InvisibleBraceL,Nothing,Just InvisibleBraceR]) [TermVar (NamedVar "x"),TermVar (NamedVar "epsilon")]]))
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At line 137 in real-topological-space.tex
Can't use Fix at this point.
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In Line 49 in real-topological-space.tex the Fix can't be processed.
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Error:
zf: Precondition failed in encodeTerm, cannot encode terms with comprehensions directly: TermSep (NamedVar "n") (TermSymbol (SymbolMixfix [Just (Command "naturals")]) []) (Scope (TermSymbol (SymbolPredicate (PredicateRelation (Command "rless"))) [TermSymbol (SymbolInteger 1) [],TermVar (B ())]))
CallStack (from HasCallStack):
error, called at source/Encoding.hs:89:13 in zf-0.3.0.0-3mIpbM9y9fK3yXjxxoLDb2:Encoding
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Unexpeced Mismatch in line 99 and 109 or the pair
100 and 108. Parsing works with line 99 and 108 or with
the lines 100 and 109.
zf: MismatchedAssume (TermSymbol (SymbolPredicate (PredicateNoun (SgPl {sg = [Just (Word "natural"),Just (Word "number")], pl = [Just (Word "natural"),Just (Word "numbers")]}))) [TermVar (NamedVar "n")]) (Connected Implication (TermSymbol (SymbolPredicate (PredicateRelation (Command "in"))) [TermVar (NamedVar "n"),TermSymbol (SymbolMixfix [Just (Command "naturals")]) []]) (TermSymbol (SymbolPredicate (PredicateVerb (SgPl {sg = [Just (Word "has"),Just (Word "cardinality"),Nothing], pl = [Just (Word "ha"),Just (Word "cardinality"),Nothing]}))) [TermSymbol (SymbolMixfix [Just (Command "seq"),Just InvisibleBraceL,Nothing,Just InvisibleBraceR,Just InvisibleBraceL,Nothing,Just InvisibleBraceR]) [TermSymbol (SymbolMixfix [Just (Command "emptyset")]) [],TermVar (NamedVar "n")],TermSymbol (SymbolMixfix [Just (Command "suc"),Just InvisibleBraceL,Nothing,Just InvisibleBraceR]) [TermVar (NamedVar "n")]]))
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Merge branch 'feature_function_definitions' into formalisation_numbers
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Hot Fix for the wrong Asumtion creation. Now the function will have a image.
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Contradiction was due to a misstake in the definition in sequence.
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