From cce4c64a95e5f835cfd28bb3589c535903cbd011 Mon Sep 17 00:00:00 2001 From: letouzey Date: Tue, 2 Nov 2010 15:10:52 +0000 Subject: NZSqrt : since spec is complete, no need for morphism axiom sqrt_wd git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13609 85f007b7-540e-0410-9357-904b9bb8a0f7 --- theories/Numbers/Integer/Binary/ZBinary.v | 2 -- theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v | 2 -- 2 files changed, 4 deletions(-) (limited to 'theories/Numbers/Integer') diff --git a/theories/Numbers/Integer/Binary/ZBinary.v b/theories/Numbers/Integer/Binary/ZBinary.v index d4796d1067..b92b303f0d 100644 --- a/theories/Numbers/Integer/Binary/ZBinary.v +++ b/theories/Numbers/Integer/Binary/ZBinary.v @@ -151,8 +151,6 @@ Definition pow := Zpower. (** NB : we use a new Zsqrt defined in Zsqrt_def, the previous module Zsqrt.v is now Zsqrt_compat.v *) -Program Instance sqrt_wd : Proper (eq==>eq) Zsqrt. - Definition sqrt_spec := Zsqrt_spec. Definition sqrt_neg := Zsqrt_neg. Definition sqrt := Zsqrt. diff --git a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v index 69feb93151..6689875cb0 100644 --- a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v +++ b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v @@ -280,8 +280,6 @@ Qed. (** Sqrt *) -Program Instance sqrt_wd : Proper (eq==>eq) sqrt. - Lemma sqrt_spec : forall n, 0<=n -> (sqrt n)*(sqrt n) <= n /\ n < (succ (sqrt n))*(succ (sqrt n)). Proof. -- cgit v1.2.3