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24 lines
879 B
Plaintext
24 lines
879 B
Plaintext
--# -path=.:mathematical:present:resource-1.0/api:prelude
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concrete LogicEng of Logic = LogicI with
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(LexTheory = LexTheoryEng),
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(Prooftext = ProoftextEng),
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(Grammar = GrammarEng),
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(Symbolic = SymbolicEng),
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(Symbol = SymbolEng),
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(Combinators = CombinatorsEng),
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(Constructors = ConstructorsEng),
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;
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{-
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ImplI Abs Abs (\h -> DisjE Abs Abs Abs (DisjIr Abs Abs (Hypoth Abs h))
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(\x -> Hypoth Abs x) (\y -> Hypoth Abs y))
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assume that we have a contradiction . by the hypothesis we have a contradiction .
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a fortiori we have a contradiction or we have a contradiction .
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we have two cases. assume that we have a contradiction .
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by the hypothesis we have a contradiction . assume that we have a contradiction .
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by the hypothesis we have a contradiction . therefore we have a contradiction .
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therefore if we have a contradiction then we have a contradiction .
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-}
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