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      • Expdata-event-generation

      Expdata-gen-defsurj

      Generate a local defsurj.

      Signature
      (expdata-gen-defsurj surjmap verify-guards$ print$) → event
      Arguments
      surjmap — Guard (expdata-surjmapp surjmap).
      verify-guards$ — Guard (booleanp verify-guards$).
      print$ — Guard (evmac-input-print-p print$).
      Returns
      event — Type (pseudo-event-formp event).

      When the surj input is not a name, expdata internally generates and uses a defsurj, so that the rest of the generated events can uniformly rely on a defsurj that has established the surjective mapping.

      This event is local to the encapsulate generated by expdata.

      Since the defsurj is local, we normally do not want to print its result or info output. But we want to print errors. So we pass :error as the :print input. However, if expdata's :print input is :all, the we use :all for defsurj's :print input as well.

      This is also used for the identity surjective mapping, which is also locally generated.

      Definitions and Theorems

      Function: expdata-gen-defsurj

      (defun expdata-gen-defsurj (surjmap verify-guards$ print$)
       (declare (xargs :guard (and (expdata-surjmapp surjmap)
                                   (booleanp verify-guards$)
                                   (evmac-input-print-p print$))))
       (declare (xargs :guard (expdata-surjmap->localp surjmap)))
       (let ((__function__ 'expdata-gen-defsurj))
        (declare (ignorable __function__))
        (b*
         (((expdata-surjmap surjmap) surjmap)
          (name surjmap.surjname)
          (doma surjmap.newp)
          (domb surjmap.oldp)
          (alpha surjmap.back)
          (beta surjmap.forth)
          (unconditional nil)
          (guard-thms verify-guards$)
          (nonguard-thm-names
               (list :alpha-image surjmap.back-image
                     :beta-image surjmap.forth-image
                     :alpha-of-beta surjmap.back-of-forth
                     :beta-injective surjmap.forth-injective))
          (guard-thm-names? (and guard-thms
                                 (list :doma-guard surjmap.newp-guard
                                       :domb-guard surjmap.oldp-guard
                                       :alpha-guard surjmap.back-guard
                                       :beta-guard surjmap.forth-guard)))
          (thm-names (append nonguard-thm-names guard-thm-names?))
          (hints surjmap.hints)
          (print (if (eq print$ :all) :all :error)))
         (cons
          'local
          (cons
           (cons
            'defsurj
            (cons
             name
             (cons
              doma
              (cons
               domb
               (cons
                alpha
                (cons
                 beta
                 (cons
                  ':unconditional
                  (cons
                   unconditional
                   (cons
                    ':guard-thms
                    (cons
                     guard-thms
                     (cons
                      ':thm-names
                      (cons
                        thm-names
                        (cons ':hints
                              (cons hints
                                    (cons ':print
                                          (cons print 'nil))))))))))))))))
           'nil)))))

      Theorem: pseudo-event-formp-of-expdata-gen-defsurj

      (defthm pseudo-event-formp-of-expdata-gen-defsurj
        (b* ((event (expdata-gen-defsurj surjmap verify-guards$ print$)))
          (pseudo-event-formp event))
        :rule-classes :rewrite)