/*********************************************************/
                           /*Proof Rule Declarations*/
    /*Examiner Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039*/
             /*Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.*/
           /*********************************************************/


                        /*DATE : 29-NOV-2010 14:30:17.95*/

                            /*function Sqrt.Isqrt*/


rule_family isqrt_rules:
     X      requires [X:any] &
     X <= Y requires [X:ire, Y:ire] &
     X >= Y requires [X:ire, Y:ire].

isqrt_rules(1): integer__size >= 0 may_be_deduced.
isqrt_rules(2): integer__first may_be_replaced_by -2147483648.
isqrt_rules(3): integer__last may_be_replaced_by 2147483647.
isqrt_rules(4): integer__base__first may_be_replaced_by -2147483648.
isqrt_rules(5): integer__base__last may_be_replaced_by 2147483647.
isqrt_rules(6): natural__size >= 0 may_be_deduced.
isqrt_rules(7): natural__first may_be_replaced_by 0.
isqrt_rules(8): natural__last may_be_replaced_by 2147483647.
isqrt_rules(9): natural__base__first may_be_replaced_by -2147483648.
isqrt_rules(10): natural__base__last may_be_replaced_by 2147483647.