src/HOL/SPARK/Manual/simple_greatest_common_divisor/g_c_d.rls
changeset 45044 2fae15f8984d
equal deleted inserted replaced
45041:0523a6be8ade 45044:2fae15f8984d
       
     1            /*********************************************************/
       
     2                            /*Proof Rule Declarations*/
       
     3     /*Examiner Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039*/
       
     4              /*Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.*/
       
     5            /*********************************************************/
       
     6 
       
     7 
       
     8                         /*DATE : 22-SEP-2011 11:10:48.96*/
       
     9 
       
    10                /*procedure Simple_Greatest_Common_Divisor.G_C_D*/
       
    11 
       
    12 
       
    13 rule_family g_c_d_rules:
       
    14      X      requires [X:any] &
       
    15      X <= Y requires [X:ire, Y:ire] &
       
    16      X >= Y requires [X:ire, Y:ire].
       
    17 
       
    18 g_c_d_rules(1): integer__size >= 0 may_be_deduced.
       
    19 g_c_d_rules(2): integer__first may_be_replaced_by -2147483648.
       
    20 g_c_d_rules(3): integer__last may_be_replaced_by 2147483647.
       
    21 g_c_d_rules(4): integer__base__first may_be_replaced_by -2147483648.
       
    22 g_c_d_rules(5): integer__base__last may_be_replaced_by 2147483647.
       
    23 g_c_d_rules(6): natural__size >= 0 may_be_deduced.
       
    24 g_c_d_rules(7): natural__first may_be_replaced_by 0.
       
    25 g_c_d_rules(8): natural__last may_be_replaced_by 2147483647.
       
    26 g_c_d_rules(9): natural__base__first may_be_replaced_by -2147483648.
       
    27 g_c_d_rules(10): natural__base__last may_be_replaced_by 2147483647.