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    • Simpadd0-event-generation

    Simpadd0-transunit-ensemble

    Transform a translation unit ensemble.

    Signature
    (simpadd0-transunit-ensemble tunits gin state) 
      → 
    (mv new-tunits gout)
    Arguments
    tunits — Guard (transunit-ensemblep tunits).
    gin — Guard (simpadd0-ginp gin).
    Returns
    new-tunits — Type (transunit-ensemblep new-tunits).
    gout — Type (simpadd0-goutp gout).

    Definitions and Theorems

    Function: simpadd0-transunit-ensemble

    (defun simpadd0-transunit-ensemble (tunits gin state)
     (declare (xargs :stobjs (state)))
     (declare (xargs :guard (and (transunit-ensemblep tunits)
                                 (simpadd0-ginp gin))))
     (declare (xargs :guard (transunit-ensemble-unambp tunits)))
     (let ((__function__ 'simpadd0-transunit-ensemble))
       (declare (ignorable __function__))
       (b* (((simpadd0-gin gin) gin)
            ((transunit-ensemble tunits) tunits)
            ((mv new-map (simpadd0-gout gout-map))
             (simpadd0-filepath-transunit-map tunits.unwrap gin state)))
         (mv (transunit-ensemble new-map)
             (make-simpadd0-gout :events gout-map.events
                                 :thm-name nil
                                 :thm-index gout-map.thm-index
                                 :names-to-avoid gout-map.names-to-avoid
                                 :vartys gout-map.vartys
                                 :diffp gout-map.diffp)))))

    Theorem: transunit-ensemblep-of-simpadd0-transunit-ensemble.new-tunits

    (defthm
          transunit-ensemblep-of-simpadd0-transunit-ensemble.new-tunits
      (b* (((mv ?new-tunits ?gout)
            (simpadd0-transunit-ensemble tunits gin state)))
        (transunit-ensemblep new-tunits))
      :rule-classes :rewrite)

    Theorem: simpadd0-goutp-of-simpadd0-transunit-ensemble.gout

    (defthm simpadd0-goutp-of-simpadd0-transunit-ensemble.gout
      (b* (((mv ?new-tunits ?gout)
            (simpadd0-transunit-ensemble tunits gin state)))
        (simpadd0-goutp gout))
      :rule-classes :rewrite)

    Theorem: transunit-ensemble-unambp-of-simpadd0-transunit-ensemble

    (defthm transunit-ensemble-unambp-of-simpadd0-transunit-ensemble
      (b* (((mv ?new-tunits ?gout)
            (simpadd0-transunit-ensemble tunits gin state)))
        (transunit-ensemble-unambp new-tunits)))

    Theorem: simpadd0-transunit-ensemble-of-transunit-ensemble-fix-tunits

    (defthm simpadd0-transunit-ensemble-of-transunit-ensemble-fix-tunits
     (equal
        (simpadd0-transunit-ensemble (c$::transunit-ensemble-fix tunits)
                                     gin state)
        (simpadd0-transunit-ensemble tunits gin state)))

    Theorem: simpadd0-transunit-ensemble-transunit-ensemble-equiv-congruence-on-tunits

    (defthm
     simpadd0-transunit-ensemble-transunit-ensemble-equiv-congruence-on-tunits
     (implies
          (c$::transunit-ensemble-equiv tunits tunits-equiv)
          (equal (simpadd0-transunit-ensemble tunits gin state)
                 (simpadd0-transunit-ensemble tunits-equiv gin state)))
     :rule-classes :congruence)

    Theorem: simpadd0-transunit-ensemble-of-simpadd0-gin-fix-gin

    (defthm simpadd0-transunit-ensemble-of-simpadd0-gin-fix-gin
      (equal (simpadd0-transunit-ensemble tunits (simpadd0-gin-fix gin)
                                          state)
             (simpadd0-transunit-ensemble tunits gin state)))

    Theorem: simpadd0-transunit-ensemble-simpadd0-gin-equiv-congruence-on-gin

    (defthm
       simpadd0-transunit-ensemble-simpadd0-gin-equiv-congruence-on-gin
      (implies
           (simpadd0-gin-equiv gin gin-equiv)
           (equal (simpadd0-transunit-ensemble tunits gin state)
                  (simpadd0-transunit-ensemble tunits gin-equiv state)))
      :rule-classes :congruence)