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authorGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
committerGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
commit5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch)
tree631ad791a7685edafeb1fb2e8faeedc8379318ae /test-suite/failure/fixpoint4.v
parentda178a880e3ace820b41d38b191d3785b82991f5 (diff)
Imported Upstream snapshot 8.3~beta0+13298
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+(* Check that arguments of impredicative types are not considered
+ subterms even through commutative cuts on functional arguments
+ (example prepared by Bruno) *)
+
+Inductive IMP : Prop :=
+ CIMP : (forall A:Prop, A->A) -> IMP
+| LIMP : (nat->IMP)->IMP.
+
+Definition i0 := (LIMP (fun _ => CIMP (fun _ x => x))).
+
+Definition Paradox : False :=
+ (fix F y o {struct o} : False :=
+ match y with
+ | tt => fun f =>
+ match f 0 with
+ | CIMP h => F y (h _ o)
+ | _ => F y (f 0)
+ end
+ end match o with LIMP f => f | _ => fun _ => o end) tt i0.