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Vl-shadowcheck-vardecls

Signature
(vl-shadowcheck-vardecls x st warnings) → (mv st warnings)
Arguments: x — Guard (vl-vardecllist-p x).; st — Guard (vl-shadowcheck-state-p st).; warnings — Guard (vl-warninglist-p warnings).
Returns: st — Type (vl-shadowcheck-state-p st).; warnings — Type (vl-warninglist-p warnings).

Definitions and Theorems

Function: vl-shadowcheck-vardecls

(defun vl-shadowcheck-vardecls (x st warnings)
  (declare (xargs :guard (and (vl-vardecllist-p x)
                              (vl-shadowcheck-state-p st)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-shadowcheck-vardecls))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (mv (vl-shadowcheck-state-fix st) (ok)))
         ((mv st warnings)
          (vl-shadowcheck-vardecl (car x)
                                  st warnings)))
      (vl-shadowcheck-vardecls (cdr x)
                               st warnings))))

Theorem: vl-shadowcheck-state-p-of-vl-shadowcheck-vardecls.st

(defthm vl-shadowcheck-state-p-of-vl-shadowcheck-vardecls.st
  (b* (((mv ?st ?warnings)
        (vl-shadowcheck-vardecls x st warnings)))
    (vl-shadowcheck-state-p st))
  :rule-classes :rewrite)

Theorem: vl-warninglist-p-of-vl-shadowcheck-vardecls.warnings

(defthm vl-warninglist-p-of-vl-shadowcheck-vardecls.warnings
  (b* (((mv ?st ?warnings)
        (vl-shadowcheck-vardecls x st warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-shadowcheck-vardecls-of-vl-vardecllist-fix-x

(defthm vl-shadowcheck-vardecls-of-vl-vardecllist-fix-x
  (equal (vl-shadowcheck-vardecls (vl-vardecllist-fix x)
                                  st warnings)
         (vl-shadowcheck-vardecls x st warnings)))

Theorem: vl-shadowcheck-vardecls-vl-vardecllist-equiv-congruence-on-x

(defthm vl-shadowcheck-vardecls-vl-vardecllist-equiv-congruence-on-x
  (implies (vl-vardecllist-equiv x x-equiv)
           (equal (vl-shadowcheck-vardecls x st warnings)
                  (vl-shadowcheck-vardecls x-equiv st warnings)))
  :rule-classes :congruence)

Theorem: vl-shadowcheck-vardecls-of-vl-shadowcheck-state-fix-st

(defthm vl-shadowcheck-vardecls-of-vl-shadowcheck-state-fix-st
  (equal (vl-shadowcheck-vardecls x (vl-shadowcheck-state-fix st)
                                  warnings)
         (vl-shadowcheck-vardecls x st warnings)))

Theorem: vl-shadowcheck-vardecls-vl-shadowcheck-state-equiv-congruence-on-st

(defthm
 vl-shadowcheck-vardecls-vl-shadowcheck-state-equiv-congruence-on-st
 (implies (vl-shadowcheck-state-equiv st st-equiv)
          (equal (vl-shadowcheck-vardecls x st warnings)
                 (vl-shadowcheck-vardecls x st-equiv warnings)))
 :rule-classes :congruence)

Theorem: vl-shadowcheck-vardecls-of-vl-warninglist-fix-warnings

(defthm vl-shadowcheck-vardecls-of-vl-warninglist-fix-warnings
 (equal (vl-shadowcheck-vardecls x st (vl-warninglist-fix warnings))
        (vl-shadowcheck-vardecls x st warnings)))

Theorem: vl-shadowcheck-vardecls-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-shadowcheck-vardecls-vl-warninglist-equiv-congruence-on-warnings
 (implies (vl-warninglist-equiv warnings warnings-equiv)
          (equal (vl-shadowcheck-vardecls x st warnings)
                 (vl-shadowcheck-vardecls x st warnings-equiv)))
 :rule-classes :congruence)