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where is a metalogical symbol meaning that is a syntactic consequence when and are both in a proof ;

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where is a metalogical symbol meaning that is a syntactic consequence if and are each on lines of a proof in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of, and in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of, and and in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of and in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of and in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of, and in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of and is also a syntactic consequence of in logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of,, and in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of,, and in some logical system ;

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where is a metalogical symbol meaning that is a syntactic consequence of in some logical system ;

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