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+--# -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 .
+-}