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    Vl-user-signatures

    Signature
    (vl-user-signatures settings really-user-p warnings 
                        elabindex ledger &key (config 'config)) 
     
      → 
    (mv instkeys warnings new-elabindex ledger)
    Arguments
    settings — Guard (vl-user-paramsettings-p settings).
    warnings — Guard (vl-warninglist-p warnings).
    elabindex — design level.
    ledger — Guard (vl-unparam-ledger-p ledger).
    config — Guard (vl-simpconfig-p config).
    Returns
    instkeys — Type (vl-unparam-instkeylist-p instkeys).
    warnings — Type (vl-warninglist-p warnings).
    ledger — Type (vl-unparam-ledger-p ledger).

    Definitions and Theorems

    Function: vl-user-signatures-fn

    (defun vl-user-signatures-fn
           (settings really-user-p
                     warnings elabindex ledger config)
      (declare (xargs :stobjs (elabindex)))
      (declare (xargs :guard (and (vl-user-paramsettings-p settings)
                                  (vl-warninglist-p warnings)
                                  (vl-unparam-ledger-p ledger)
                                  (vl-simpconfig-p config))))
      (let ((__function__ 'vl-user-signatures))
        (declare (ignorable __function__))
        (if (atom settings)
            (mv nil (vl-warninglist-fix warnings)
                elabindex
                (vl-unparam-ledger-fix ledger))
          (b* (((mv ?ok instkeys1 warnings elabindex ledger)
                (vl-user-signature (car settings)
                                   really-user-p
                                   warnings elabindex ledger))
               ((mv instkeys warnings elabindex ledger)
                (vl-user-signatures (cdr settings)
                                    really-user-p
                                    warnings elabindex ledger)))
            (mv (append-without-guard instkeys1 instkeys)
                warnings elabindex ledger)))))

    Theorem: vl-unparam-instkeylist-p-of-vl-user-signatures.instkeys

    (defthm vl-unparam-instkeylist-p-of-vl-user-signatures.instkeys
      (b* (((mv ?instkeys
                ?warnings ?new-elabindex ?ledger)
            (vl-user-signatures-fn settings really-user-p
                                   warnings elabindex ledger config)))
        (vl-unparam-instkeylist-p instkeys))
      :rule-classes :rewrite)

    Theorem: vl-warninglist-p-of-vl-user-signatures.warnings

    (defthm vl-warninglist-p-of-vl-user-signatures.warnings
      (b* (((mv ?instkeys
                ?warnings ?new-elabindex ?ledger)
            (vl-user-signatures-fn settings really-user-p
                                   warnings elabindex ledger config)))
        (vl-warninglist-p warnings))
      :rule-classes :rewrite)

    Theorem: vl-unparam-ledger-p-of-vl-user-signatures.ledger

    (defthm vl-unparam-ledger-p-of-vl-user-signatures.ledger
      (b* (((mv ?instkeys
                ?warnings ?new-elabindex ?ledger)
            (vl-user-signatures-fn settings really-user-p
                                   warnings elabindex ledger config)))
        (vl-unparam-ledger-p ledger))
      :rule-classes :rewrite)

    Theorem: vl-user-signatures-fn-of-vl-user-paramsettings-fix-settings

    (defthm vl-user-signatures-fn-of-vl-user-paramsettings-fix-settings
      (equal (vl-user-signatures-fn (vl-user-paramsettings-fix settings)
                                    really-user-p
                                    warnings elabindex ledger config)
             (vl-user-signatures-fn settings really-user-p
                                    warnings elabindex ledger config)))

    Theorem: vl-user-signatures-fn-vl-user-paramsettings-equiv-congruence-on-settings

    (defthm
     vl-user-signatures-fn-vl-user-paramsettings-equiv-congruence-on-settings
     (implies
       (vl-user-paramsettings-equiv settings settings-equiv)
       (equal (vl-user-signatures-fn settings really-user-p
                                     warnings elabindex ledger config)
              (vl-user-signatures-fn settings-equiv really-user-p
                                     warnings elabindex ledger config)))
     :rule-classes :congruence)

    Theorem: vl-user-signatures-fn-of-vl-warninglist-fix-warnings

    (defthm vl-user-signatures-fn-of-vl-warninglist-fix-warnings
      (equal (vl-user-signatures-fn settings really-user-p
                                    (vl-warninglist-fix warnings)
                                    elabindex ledger config)
             (vl-user-signatures-fn settings really-user-p
                                    warnings elabindex ledger config)))

    Theorem: vl-user-signatures-fn-vl-warninglist-equiv-congruence-on-warnings

    (defthm
      vl-user-signatures-fn-vl-warninglist-equiv-congruence-on-warnings
     (implies
       (vl-warninglist-equiv warnings warnings-equiv)
       (equal
            (vl-user-signatures-fn settings really-user-p
                                   warnings elabindex ledger config)
            (vl-user-signatures-fn settings really-user-p warnings-equiv
                                   elabindex ledger config)))
     :rule-classes :congruence)

    Theorem: vl-user-signatures-fn-of-vl-unparam-ledger-fix-ledger

    (defthm vl-user-signatures-fn-of-vl-unparam-ledger-fix-ledger
     (equal
         (vl-user-signatures-fn settings really-user-p warnings
                                elabindex (vl-unparam-ledger-fix ledger)
                                config)
         (vl-user-signatures-fn settings really-user-p
                                warnings elabindex ledger config)))

    Theorem: vl-user-signatures-fn-vl-unparam-ledger-equiv-congruence-on-ledger

    (defthm
     vl-user-signatures-fn-vl-unparam-ledger-equiv-congruence-on-ledger
     (implies
         (vl-unparam-ledger-equiv ledger ledger-equiv)
         (equal (vl-user-signatures-fn settings really-user-p
                                       warnings elabindex ledger config)
                (vl-user-signatures-fn settings really-user-p warnings
                                       elabindex ledger-equiv config)))
     :rule-classes :congruence)

    Theorem: vl-user-signatures-fn-of-vl-simpconfig-fix-config

    (defthm vl-user-signatures-fn-of-vl-simpconfig-fix-config
      (equal (vl-user-signatures-fn settings
                                    really-user-p warnings elabindex
                                    ledger (vl-simpconfig-fix config))
             (vl-user-signatures-fn settings really-user-p
                                    warnings elabindex ledger config)))

    Theorem: vl-user-signatures-fn-vl-simpconfig-equiv-congruence-on-config

    (defthm
         vl-user-signatures-fn-vl-simpconfig-equiv-congruence-on-config
     (implies
         (vl-simpconfig-equiv config config-equiv)
         (equal (vl-user-signatures-fn settings really-user-p
                                       warnings elabindex ledger config)
                (vl-user-signatures-fn settings really-user-p warnings
                                       elabindex ledger config-equiv)))
     :rule-classes :congruence)