diff options
Diffstat (limited to 'theories/Numbers/Integer/Abstract')
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZDivEucl.v | 3 |
1 files changed, 2 insertions, 1 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZDivEucl.v b/theories/Numbers/Integer/Abstract/ZDivEucl.v index d7f25a6613..a70ecd19d8 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: @@ -46,6 +46,7 @@ Module ZEuclidProp (** We put notations in a scope, to avoid warnings about redefinitions of notations *) + Declare Scope euclid. Infix "/" := D.div : euclid. Infix "mod" := D.modulo : euclid. Local Open Scope euclid. |