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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
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15 (* This file was automatically generated: do not edit *********************)
19 (*#***********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
25 (* \VV/ **************************************************************)
27 (* // * This file is distributed under the terms of the *)
29 (* * GNU Lesser General Public License Version 2.1 *)
31 (*#***********************************************************************)
33 (*i $Id: Permut.v,v 1.6.2.1 2004/07/16 19:31:18 herbelin Exp $ i*)
37 (*#* We consider a Set [U], given with a commutative-associative operator [op],
38 and a congruence [cong]; we show permutation lemmas *)
41 Section Axiomatisation
45 cic:/Coq/Sets/Permut/Axiomatisation/U.var
49 cic:/Coq/Sets/Permut/Axiomatisation/op.var
53 cic:/Coq/Sets/Permut/Axiomatisation/cong.var
57 cic:/Coq/Sets/Permut/Axiomatisation/op_comm.var
61 cic:/Coq/Sets/Permut/Axiomatisation/op_ass.var
65 cic:/Coq/Sets/Permut/Axiomatisation/cong_left.var
69 cic:/Coq/Sets/Permut/Axiomatisation/cong_right.var
73 cic:/Coq/Sets/Permut/Axiomatisation/cong_trans.var
77 cic:/Coq/Sets/Permut/Axiomatisation/cong_sym.var
80 (*#* Remark. we do not need: [Hypothesis cong_refl : (x:U)(cong x x)]. *)
82 inline procedural "cic:/Coq/Sets/Permut/cong_congr.con" as lemma.
84 inline procedural "cic:/Coq/Sets/Permut/comm_right.con" as lemma.
86 inline procedural "cic:/Coq/Sets/Permut/comm_left.con" as lemma.
88 inline procedural "cic:/Coq/Sets/Permut/perm_right.con" as lemma.
90 inline procedural "cic:/Coq/Sets/Permut/perm_left.con" as lemma.
92 inline procedural "cic:/Coq/Sets/Permut/op_rotate.con" as lemma.
94 (* Needed for treesort ... *)
96 inline procedural "cic:/Coq/Sets/Permut/twist.con" as lemma.