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Diffstat (limited to 'old-examples/logic/LogicEng.gf')
| -rw-r--r-- | old-examples/logic/LogicEng.gf | 23 |
1 files changed, 23 insertions, 0 deletions
diff --git a/old-examples/logic/LogicEng.gf b/old-examples/logic/LogicEng.gf new file mode 100644 index 000000000..18f466fa7 --- /dev/null +++ b/old-examples/logic/LogicEng.gf @@ -0,0 +1,23 @@ +--# -path=.:mathematical:present:resource-1.0/api:prelude + +concrete LogicEng of Logic = LogicI with + (LexTheory = LexTheoryEng), + (Prooftext = ProoftextEng), + (Grammar = GrammarEng), + (Symbolic = SymbolicEng), + (Symbol = SymbolEng), + (Combinators = CombinatorsEng), + (Constructors = ConstructorsEng), + ; + +{- +ImplI Abs Abs (\h -> DisjE Abs Abs Abs (DisjIr Abs Abs (Hypoth Abs h)) +(\x -> Hypoth Abs x) (\y -> Hypoth Abs y)) + +assume that we have a contradiction . by the hypothesis we have a contradiction . +a fortiori we have a contradiction or we have a contradiction . +we have two cases. assume that we have a contradiction . +by the hypothesis we have a contradiction . assume that we have a contradiction . +by the hypothesis we have a contradiction . therefore we have a contradiction . +therefore if we have a contradiction then we have a contradiction . +-} |
