From 9043add656177eeac1491a73d2f3ab92bec0013c Mon Sep 17 00:00:00 2001
From: Benjamin Barenblat <bbaren@debian.org>
Date: Sat, 29 Dec 2018 14:31:27 -0500
Subject: Imported Upstream version 8.8.2

---
 theories/Numbers/Natural/Peano/NPeano.v | 134 ++++++++++++++++----------------
 1 file changed, 68 insertions(+), 66 deletions(-)

(limited to 'theories/Numbers/Natural/Peano/NPeano.v')

diff --git a/theories/Numbers/Natural/Peano/NPeano.v b/theories/Numbers/Natural/Peano/NPeano.v
index d0168bd9..6000bdcf 100644
--- a/theories/Numbers/Natural/Peano/NPeano.v
+++ b/theories/Numbers/Natural/Peano/NPeano.v
@@ -1,9 +1,11 @@
 (************************************************************************)
-(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
-(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016     *)
+(*         *   The Coq Proof Assistant / The Coq Development Team       *)
+(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
+(* <O___,, *       (see CREDITS file for the list of authors)           *)
 (*   \VV/  **************************************************************)
-(*    //   *      This file is distributed under the terms of the       *)
-(*         *       GNU Lesser General Public License Version 2.1        *)
+(*    //   *    This file is distributed under the terms of the         *)
+(*         *     GNU Lesser General Public License Version 2.1          *)
+(*         *     (see LICENSE file for the text of the license)         *)
 (************************************************************************)
 (*                      Evgeny Makarov, INRIA, 2007                     *)
 (************************************************************************)
@@ -18,74 +20,74 @@ Module Nat <: NAxiomsSig := Nat.
 
 (** Compat notations for stuff that used to be at the beginning of NPeano. *)
 
-Notation leb := Nat.leb (compat "8.4").
-Notation ltb := Nat.ltb (compat "8.4").
-Notation leb_le := Nat.leb_le (compat "8.4").
-Notation ltb_lt := Nat.ltb_lt (compat "8.4").
-Notation pow := Nat.pow (compat "8.4").
-Notation pow_0_r := Nat.pow_0_r (compat "8.4").
-Notation pow_succ_r := Nat.pow_succ_r (compat "8.4").
-Notation square := Nat.square (compat "8.4").
-Notation square_spec := Nat.square_spec (compat "8.4").
-Notation Even := Nat.Even (compat "8.4").
-Notation Odd := Nat.Odd (compat "8.4").
-Notation even := Nat.even (compat "8.4").
-Notation odd := Nat.odd (compat "8.4").
-Notation even_spec := Nat.even_spec (compat "8.4").
-Notation odd_spec := Nat.odd_spec (compat "8.4").
+Notation leb := Nat.leb (only parsing).
+Notation ltb := Nat.ltb (only parsing).
+Notation leb_le := Nat.leb_le (only parsing).
+Notation ltb_lt := Nat.ltb_lt (only parsing).
+Notation pow := Nat.pow (only parsing).
+Notation pow_0_r := Nat.pow_0_r (only parsing).
+Notation pow_succ_r := Nat.pow_succ_r (only parsing).
+Notation square := Nat.square (only parsing).
+Notation square_spec := Nat.square_spec (only parsing).
+Notation Even := Nat.Even (only parsing).
+Notation Odd := Nat.Odd (only parsing).
+Notation even := Nat.even (only parsing).
+Notation odd := Nat.odd (only parsing).
+Notation even_spec := Nat.even_spec (only parsing).
+Notation odd_spec := Nat.odd_spec (only parsing).
 
 Lemma Even_equiv n : Even n <-> Even.even n.
 Proof. symmetry. apply Even.even_equiv. Qed.
 Lemma Odd_equiv n : Odd n <-> Even.odd n.
 Proof. symmetry. apply Even.odd_equiv. Qed.
 
-Notation divmod := Nat.divmod (compat "8.4").
-Notation div := Nat.div (compat "8.4").
-Notation modulo := Nat.modulo (compat "8.4").
-Notation divmod_spec := Nat.divmod_spec (compat "8.4").
-Notation div_mod := Nat.div_mod (compat "8.4").
-Notation mod_bound_pos := Nat.mod_bound_pos (compat "8.4").
-Notation sqrt_iter := Nat.sqrt_iter (compat "8.4").
-Notation sqrt := Nat.sqrt (compat "8.4").
-Notation sqrt_iter_spec := Nat.sqrt_iter_spec (compat "8.4").
-Notation sqrt_spec := Nat.sqrt_spec (compat "8.4").
-Notation log2_iter := Nat.log2_iter (compat "8.4").
-Notation log2 := Nat.log2 (compat "8.4").
-Notation log2_iter_spec := Nat.log2_iter_spec (compat "8.4").
-Notation log2_spec := Nat.log2_spec (compat "8.4").
-Notation log2_nonpos := Nat.log2_nonpos (compat "8.4").
-Notation gcd := Nat.gcd (compat "8.4").
-Notation divide := Nat.divide (compat "8.4").
-Notation gcd_divide := Nat.gcd_divide (compat "8.4").
-Notation gcd_divide_l := Nat.gcd_divide_l (compat "8.4").
-Notation gcd_divide_r := Nat.gcd_divide_r (compat "8.4").
-Notation gcd_greatest := Nat.gcd_greatest (compat "8.4").
-Notation testbit := Nat.testbit (compat "8.4").
-Notation shiftl := Nat.shiftl (compat "8.4").
-Notation shiftr := Nat.shiftr (compat "8.4").
-Notation bitwise := Nat.bitwise (compat "8.4").
-Notation land := Nat.land (compat "8.4").
-Notation lor := Nat.lor (compat "8.4").
-Notation ldiff := Nat.ldiff (compat "8.4").
-Notation lxor := Nat.lxor (compat "8.4").
-Notation double_twice := Nat.double_twice (compat "8.4").
-Notation testbit_0_l := Nat.testbit_0_l (compat "8.4").
-Notation testbit_odd_0 := Nat.testbit_odd_0 (compat "8.4").
-Notation testbit_even_0 := Nat.testbit_even_0 (compat "8.4").
-Notation testbit_odd_succ := Nat.testbit_odd_succ (compat "8.4").
-Notation testbit_even_succ := Nat.testbit_even_succ (compat "8.4").
-Notation shiftr_spec := Nat.shiftr_spec (compat "8.4").
-Notation shiftl_spec_high := Nat.shiftl_spec_high (compat "8.4").
-Notation shiftl_spec_low := Nat.shiftl_spec_low (compat "8.4").
-Notation div2_bitwise := Nat.div2_bitwise (compat "8.4").
-Notation odd_bitwise := Nat.odd_bitwise (compat "8.4").
-Notation div2_decr := Nat.div2_decr (compat "8.4").
-Notation testbit_bitwise_1 := Nat.testbit_bitwise_1 (compat "8.4").
-Notation testbit_bitwise_2 := Nat.testbit_bitwise_2 (compat "8.4").
-Notation land_spec := Nat.land_spec (compat "8.4").
-Notation ldiff_spec := Nat.ldiff_spec (compat "8.4").
-Notation lor_spec := Nat.lor_spec (compat "8.4").
-Notation lxor_spec := Nat.lxor_spec (compat "8.4").
+Notation divmod := Nat.divmod (only parsing).
+Notation div := Nat.div (only parsing).
+Notation modulo := Nat.modulo (only parsing).
+Notation divmod_spec := Nat.divmod_spec (only parsing).
+Notation div_mod := Nat.div_mod (only parsing).
+Notation mod_bound_pos := Nat.mod_bound_pos (only parsing).
+Notation sqrt_iter := Nat.sqrt_iter (only parsing).
+Notation sqrt := Nat.sqrt (only parsing).
+Notation sqrt_iter_spec := Nat.sqrt_iter_spec (only parsing).
+Notation sqrt_spec := Nat.sqrt_spec (only parsing).
+Notation log2_iter := Nat.log2_iter (only parsing).
+Notation log2 := Nat.log2 (only parsing).
+Notation log2_iter_spec := Nat.log2_iter_spec (only parsing).
+Notation log2_spec := Nat.log2_spec (only parsing).
+Notation log2_nonpos := Nat.log2_nonpos (only parsing).
+Notation gcd := Nat.gcd (only parsing).
+Notation divide := Nat.divide (only parsing).
+Notation gcd_divide := Nat.gcd_divide (only parsing).
+Notation gcd_divide_l := Nat.gcd_divide_l (only parsing).
+Notation gcd_divide_r := Nat.gcd_divide_r (only parsing).
+Notation gcd_greatest := Nat.gcd_greatest (only parsing).
+Notation testbit := Nat.testbit (only parsing).
+Notation shiftl := Nat.shiftl (only parsing).
+Notation shiftr := Nat.shiftr (only parsing).
+Notation bitwise := Nat.bitwise (only parsing).
+Notation land := Nat.land (only parsing).
+Notation lor := Nat.lor (only parsing).
+Notation ldiff := Nat.ldiff (only parsing).
+Notation lxor := Nat.lxor (only parsing).
+Notation double_twice := Nat.double_twice (only parsing).
+Notation testbit_0_l := Nat.testbit_0_l (only parsing).
+Notation testbit_odd_0 := Nat.testbit_odd_0 (only parsing).
+Notation testbit_even_0 := Nat.testbit_even_0 (only parsing).
+Notation testbit_odd_succ := Nat.testbit_odd_succ (only parsing).
+Notation testbit_even_succ := Nat.testbit_even_succ (only parsing).
+Notation shiftr_spec := Nat.shiftr_spec (only parsing).
+Notation shiftl_spec_high := Nat.shiftl_spec_high (only parsing).
+Notation shiftl_spec_low := Nat.shiftl_spec_low (only parsing).
+Notation div2_bitwise := Nat.div2_bitwise (only parsing).
+Notation odd_bitwise := Nat.odd_bitwise (only parsing).
+Notation div2_decr := Nat.div2_decr (only parsing).
+Notation testbit_bitwise_1 := Nat.testbit_bitwise_1 (only parsing).
+Notation testbit_bitwise_2 := Nat.testbit_bitwise_2 (only parsing).
+Notation land_spec := Nat.land_spec (only parsing).
+Notation ldiff_spec := Nat.ldiff_spec (only parsing).
+Notation lor_spec := Nat.lor_spec (only parsing).
+Notation lxor_spec := Nat.lxor_spec (only parsing).
 
 Infix "<=?" := Nat.leb (at level 70) : nat_scope.
 Infix "<?" := Nat.ltb (at level 70) : nat_scope.
-- 
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