From 9ebf44d84754adc5b64fcf612c6816c02c80462d Mon Sep 17 00:00:00 2001 From: Benjamin Barenblat Date: Sat, 2 Feb 2019 19:29:23 -0500 Subject: Imported Upstream version 8.9.0 --- theories/Numbers/Integer/Abstract/ZDivEucl.v | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'theories/Numbers/Integer/Abstract/ZDivEucl.v') diff --git a/theories/Numbers/Integer/Abstract/ZDivEucl.v b/theories/Numbers/Integer/Abstract/ZDivEucl.v index d7f25a66..5a7bd9ab 100644 --- a/theories/Numbers/Integer/Abstract/ZDivEucl.v +++ b/theories/Numbers/Integer/Abstract/ZDivEucl.v @@ -13,7 +13,7 @@ Require Import ZAxioms ZMulOrder ZSgnAbs NZDiv. (** * Euclidean Division for integers, Euclid convention We use here the "usual" formulation of the Euclid Theorem - [forall a b, b<>0 -> exists b q, a = b*q+r /\ 0 < r < |b| ] + [forall a b, b<>0 -> exists r q, a = b*q+r /\ 0 <= r < |b| ] The outcome of the modulo function is hence always positive. This corresponds to convention "E" in the following paper: -- cgit v1.2.3