src/HOL/SPARK/Manual/loop_invariant/proc1.rls
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     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 11:10:50.40*/
       
     9 
       
    10                        /*procedure Loop_Invariant.Proc1*/
       
    11 
       
    12 
       
    13 rule_family proc1_rules:
       
    14      X      requires [X:any] &
       
    15      X <= Y requires [X:ire, Y:ire] &
       
    16      X >= Y requires [X:ire, Y:ire].
       
    17 
       
    18 proc1_rules(1): integer__size >= 0 may_be_deduced.
       
    19 proc1_rules(2): integer__first may_be_replaced_by -2147483648.
       
    20 proc1_rules(3): integer__last may_be_replaced_by 2147483647.
       
    21 proc1_rules(4): integer__base__first may_be_replaced_by -2147483648.
       
    22 proc1_rules(5): integer__base__last may_be_replaced_by 2147483647.
       
    23 proc1_rules(6): natural__size >= 0 may_be_deduced.
       
    24 proc1_rules(7): natural__first may_be_replaced_by 0.
       
    25 proc1_rules(8): natural__last may_be_replaced_by 2147483647.
       
    26 proc1_rules(9): natural__base__first may_be_replaced_by -2147483648.
       
    27 proc1_rules(10): natural__base__last may_be_replaced_by 2147483647.
       
    28 proc1_rules(11): word32__size >= 0 may_be_deduced.
       
    29 proc1_rules(12): word32__first may_be_replaced_by 0.
       
    30 proc1_rules(13): word32__last may_be_replaced_by 4294967295.
       
    31 proc1_rules(14): word32__base__first may_be_replaced_by 0.
       
    32 proc1_rules(15): word32__base__last may_be_replaced_by 4294967295.
       
    33 proc1_rules(16): word32__modulus may_be_replaced_by 4294967296.