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gf-core/examples/logic/LogicI.gf
2006-11-27 10:54:26 +00:00

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incomplete concrete LogicI of Logic =
open
LexTheory,
Prooftext,
Grammar,
Constructors,
Combinators
in {
lincat
Prop = Prooftext.Prop ;
Proof = Prooftext.Proof ;
Dom = Typ ;
Elem = Object ;
Hypo = Label ;
Text = Section ;
lin
Disj A B = coord or_Conj A B ;
Impl A B = coord ifthen_DConj A B ;
Abs = mkS (pred have_V2 (mkNP we_Pron) (mkNP (mkDet IndefArt) contradiction_N)) ;
DisjIl A B a = proof a (proof afortiori (coord or_Conj A B)) ;
DisjIr A B b = proof b (proof afortiori (coord or_Conj A B)) ;
DisjE A B C c b1 b2 =
appendText
c
(appendText
(appendText
(cases (mkNum n2))
(proofs
(appendText (assumption A) b1)
(appendText (assumption B) b2)))
(proof therefore C)) ;
ImplI A B b =
proof (assumption A) (appendText b (proof therefore (coord ifthen_DConj A B))) ;
Hypoth A h = proof hypothesis A ;
}