From 8be0a95911d2d042e5aff31373b9812cc299db87 Mon Sep 17 00:00:00 2001 From: Samuel Gruetter Date: Fri, 10 Aug 2018 16:54:10 -0400 Subject: one more fix to formulation of the Euclid Theorem in comment as pointed out by @jashug --- theories/Numbers/Integer/Abstract/ZDivEucl.v | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/theories/Numbers/Integer/Abstract/ZDivEucl.v b/theories/Numbers/Integer/Abstract/ZDivEucl.v index 63f17341af..5a7bd9ab30 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 r 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