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    • Deffold-map-event-generation

    Deffold-map-gen-option-map

    Generate the map function for an option type.

    Signature
    (deffold-map-gen-option-map sum mutrecp suffix extra-args fty-table) 
      → 
    event
    Arguments
    sum — Guard (flexsum-p sum).
    mutrecp — Guard (booleanp mutrecp).
    suffix — Guard (symbolp suffix).
    extra-args — Guard (true-listp extra-args).
    fty-table — Guard (alistp fty-table).
    Returns
    event — Type (acl2::pseudo-event-formp event).

    In the FTY table, option types are stored as sum types, but with an indication of defoption as the type macro.

    This function is as described in deffold-map.

    The mutrecp flag says whether this option type is part of a mutually recursive clique.

    Definitions and Theorems

    Function: deffold-map-gen-option-map

    (defun deffold-map-gen-option-map
           (sum mutrecp suffix extra-args fty-table)
     (declare (xargs :guard (and (flexsum-p sum)
                                 (booleanp mutrecp)
                                 (symbolp suffix)
                                 (true-listp extra-args)
                                 (alistp fty-table))))
     (declare (xargs :guard (eq (flexsum->typemacro sum)
                                'defoption)))
     (let ((__function__ 'deffold-map-gen-option-map))
      (declare (ignorable __function__))
      (b*
       ((type (flexsum->name sum))
        ((unless (symbolp type))
         (raise "Internal error: malformed type name ~x0."
                type)
         '(_))
        (type-suffix (deffold-map-gen-map-name type suffix))
        (type-count (flexsum->count sum))
        (recog (flexsum->pred sum))
        (recp (flexsum->recp sum))
        (type-case (flexsum->case sum))
        ((mv base-type accessor)
         (components-of-flexoption-with-name type fty-table))
        (base-flextype (flextype-with-name base-type fty-table))
        ((unless base-flextype)
         (raise "Internal error: malformed type ~x0."
                base-type)
         '(_))
        (base-type-fix (flextype->fix base-flextype))
        (base-type-suffix (deffold-map-gen-map-name base-type suffix))
        (extra-args-names (deffold-map-extra-args-to-names extra-args))
        (body
         (cons
          type-case
          (cons
           type
           (cons
            ':some
            (cons
                (cons base-type-fix
                      (cons (cons base-type-suffix
                                  (cons (cons accessor (cons type 'nil))
                                        extra-args-names))
                            'nil))
                '(:none nil))))))
        (type-suffix-under-iff
             (acl2::packn-pos (list type-suffix '-under-iff)
                              suffix))
        (thm-events
         (cons
          (cons
           'defruled
           (cons
            type-suffix-under-iff
            (cons
             (cons 'iff
                   (cons (cons type-suffix
                               (cons type extra-args-names))
                         (cons type 'nil)))
             (cons
                ':expand
                (cons (cons (cons type-suffix
                                  (cons type extra-args-names))
                            'nil)
                      (cons ':cases
                            (cons (cons (cons 'equal (cons type '(nil)))
                                        'nil)
                                  'nil)))))))
          'nil))
        (ruleset-event
         (cons 'add-to-ruleset
               (cons (deffold-map-gen-ruleset-name suffix)
                     (cons (cons 'quote
                                 (cons (cons type-suffix-under-iff 'nil)
                                       'nil))
                           'nil)))))
       (cons
        'define
        (cons
         type-suffix
         (cons
          (cons (cons type (cons recog 'nil))
                extra-args)
          (cons
           ':returns
           (cons
            (cons 'result (cons recog 'nil))
            (cons
             ':parents
             (cons
              (cons (deffold-map-gen-topic-name suffix)
                    'nil)
              (cons
               body
               (append
                (and (or mutrecp recp)
                     (cons ':measure
                           (cons (cons type-count (cons type 'nil))
                                 'nil)))
                (append
                 (and (not mutrecp)
                      '(:verify-guards :after-returns))
                 (append
                  (and (not mutrecp) '(:hooks (:fix)))
                  (cons
                       '///
                       (append thm-events
                               (cons ruleset-event 'nil)))))))))))))))))

    Theorem: pseudo-event-formp-of-deffold-map-gen-option-map

    (defthm pseudo-event-formp-of-deffold-map-gen-option-map
      (b* ((event (deffold-map-gen-option-map
                       sum
                       mutrecp suffix extra-args fty-table)))
        (acl2::pseudo-event-formp event))
      :rule-classes :rewrite)