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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 (* This file was automatically generated: do not edit *********************)
19 (*#***************************************************************************)
21 (* The Calculus of Inductive Constructions *)
31 (* Rocquencourt Orsay *)
39 (*#***************************************************************************)
43 (*#***************************************************************************)
45 (*#* This is Hurkens paradox [Hurkens] in system U-, adapted by Herman
46 Geuvers [Geuvers] to show the inconsistency in the pure calculus of
47 constructions of a retract from Prop into a small type.
51 - [Hurkens] A. J. Hurkens, "A simplification of Girard's paradox",
52 Proceedings of the 2nd international conference Typed Lambda-Calculi
53 and Applications (TLCA'95), 1995.
55 - [Geuvers] "Inconsistency of Classical Logic in Type Theory", 2001
56 (see www.cs.kun.nl/~herman/note.ps.gz).
64 cic:/Coq/Logic/Hurkens/Paradox/bool.var
68 cic:/Coq/Logic/Hurkens/Paradox/p2b.var
72 cic:/Coq/Logic/Hurkens/Paradox/b2p.var
76 cic:/Coq/Logic/Hurkens/Paradox/p2p1.var
80 cic:/Coq/Logic/Hurkens/Paradox/p2p2.var
84 cic:/Coq/Logic/Hurkens/Paradox/B.var
87 inline procedural "cic:/Coq/Logic/Hurkens/V.con" as definition.
89 inline procedural "cic:/Coq/Logic/Hurkens/U.con" as definition.
91 inline procedural "cic:/Coq/Logic/Hurkens/sb.con" as definition.
93 inline procedural "cic:/Coq/Logic/Hurkens/le.con" as definition.
95 inline procedural "cic:/Coq/Logic/Hurkens/induct.con" as definition.
97 inline procedural "cic:/Coq/Logic/Hurkens/WF.con" as definition.
99 inline procedural "cic:/Coq/Logic/Hurkens/I.con" as definition.
101 inline procedural "cic:/Coq/Logic/Hurkens/Omega.con" as lemma.
103 inline procedural "cic:/Coq/Logic/Hurkens/lemma1.con" as lemma.
105 inline procedural "cic:/Coq/Logic/Hurkens/lemma2.con" as lemma.
107 inline procedural "cic:/Coq/Logic/Hurkens/paradox.con" as theorem.