src/HOL/SPARK/Manual/loop_invariant/proc2.rls
author haftmann
Thu, 19 Jun 2025 17:15:40 +0200
changeset 82734 89347c0cc6a3
parent 45044 2fae15f8984d
permissions -rw-r--r--
treat map_filter similar to list_all, list_ex, list_ex1
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
45044
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     1
           /*********************************************************/
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     2
                           /*Proof Rule Declarations*/
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     3
    /*Examiner Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039*/
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     4
             /*Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.*/
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     5
           /*********************************************************/
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     6
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     7
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     8
                        /*DATE : 22-SEP-2011 11:10:50.42*/
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
     9
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    10
                       /*procedure Loop_Invariant.Proc2*/
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    11
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    12
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    13
rule_family proc2_rules:
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    14
     X      requires [X:any] &
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    15
     X <= Y requires [X:ire, Y:ire] &
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    16
     X >= Y requires [X:ire, Y:ire].
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    17
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    18
proc2_rules(1): integer__size >= 0 may_be_deduced.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    19
proc2_rules(2): integer__first may_be_replaced_by -2147483648.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    20
proc2_rules(3): integer__last may_be_replaced_by 2147483647.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    21
proc2_rules(4): integer__base__first may_be_replaced_by -2147483648.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    22
proc2_rules(5): integer__base__last may_be_replaced_by 2147483647.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    23
proc2_rules(6): natural__size >= 0 may_be_deduced.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    24
proc2_rules(7): natural__first may_be_replaced_by 0.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    25
proc2_rules(8): natural__last may_be_replaced_by 2147483647.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    26
proc2_rules(9): natural__base__first may_be_replaced_by -2147483648.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    27
proc2_rules(10): natural__base__last may_be_replaced_by 2147483647.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    28
proc2_rules(11): word32__size >= 0 may_be_deduced.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    29
proc2_rules(12): word32__first may_be_replaced_by 0.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    30
proc2_rules(13): word32__last may_be_replaced_by 4294967295.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    31
proc2_rules(14): word32__base__first may_be_replaced_by 0.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    32
proc2_rules(15): word32__base__last may_be_replaced_by 4294967295.
2fae15f8984d Added documentation for HOL-SPARK
berghofe
parents:
diff changeset
    33
proc2_rules(16): word32__modulus may_be_replaced_by 4294967296.