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• Shadowcheck

Vl-shadowcheck-alias

Signature

(vl-shadowcheck-alias x st warnings) → (mv st warnings)

Arguments

x — Guard (vl-alias-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-alias

(defun vl-shadowcheck-alias (x st warnings)
  (declare (xargs :guard (and (vl-alias-p x)
                              (vl-shadowcheck-state-p st)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-shadowcheck-alias))
    (declare (ignorable __function__))
    (b* ((x (vl-alias-fix x))
         ((mv st warnings)
          (vl-shadowcheck-exprlist (vl-alias-allexprs x)
                                   x st warnings)))
      (mv st warnings))))

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

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

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

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

Theorem: vl-shadowcheck-alias-of-vl-alias-fix-x

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

Theorem: vl-shadowcheck-alias-vl-alias-equiv-congruence-on-x

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

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

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

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

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

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

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

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

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