diff options
author | Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:32 -0500 |
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committer | Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:32 -0500 |
commit | 2708a015fcf65f72328be4296a00dd32b1f1c17a (patch) | |
tree | 696f9b5fb84817e1a5c8d9271976a92e25aef18a /theories/Arith/Minus.v | |
parent | d7d80c5bea564b7cb0eadc33e9ee38c9d9de1cd8 (diff) | |
parent | 9043add656177eeac1491a73d2f3ab92bec0013c (diff) |
Updated version 8.8.2 from 'upstream/8.8.2'
with Debian dir a16bcf46abacaf1a684eda04f02555c984bf540d
Diffstat (limited to 'theories/Arith/Minus.v')
-rw-r--r-- | theories/Arith/Minus.v | 20 |
1 files changed, 11 insertions, 9 deletions
diff --git a/theories/Arith/Minus.v b/theories/Arith/Minus.v index 1fc8f790..3bf6cd95 100644 --- a/theories/Arith/Minus.v +++ b/theories/Arith/Minus.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) *) (************************************************************************) (** Properties of subtraction between natural numbers. @@ -46,7 +48,7 @@ Qed. (** * Diagonal *) -Notation minus_diag := Nat.sub_diag (compat "8.4"). (* n - n = 0 *) +Notation minus_diag := Nat.sub_diag (only parsing). (* n - n = 0 *) Lemma minus_diag_reverse n : 0 = n - n. Proof. @@ -87,13 +89,13 @@ Qed. (** * Relation with order *) Notation minus_le_compat_r := - Nat.sub_le_mono_r (compat "8.4"). (* n <= m -> n - p <= m - p. *) + Nat.sub_le_mono_r (only parsing). (* n <= m -> n - p <= m - p. *) Notation minus_le_compat_l := - Nat.sub_le_mono_l (compat "8.4"). (* n <= m -> p - m <= p - n. *) + Nat.sub_le_mono_l (only parsing). (* n <= m -> p - m <= p - n. *) -Notation le_minus := Nat.le_sub_l (compat "8.4"). (* n - m <= n *) -Notation lt_minus := Nat.sub_lt (compat "8.4"). (* m <= n -> 0 < m -> n-m < n *) +Notation le_minus := Nat.le_sub_l (only parsing). (* n - m <= n *) +Notation lt_minus := Nat.sub_lt (only parsing). (* m <= n -> 0 < m -> n-m < n *) Lemma lt_O_minus_lt n m : 0 < n - m -> m < n. Proof. |