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• Shadowcheck

Vl-shadowcheck-modules

Signature

(vl-shadowcheck-modules x st) → (mv st new-x)

Arguments

x — Guard (vl-modulelist-p x).

st — Guard (vl-shadowcheck-state-p st).

Returns

st — Type (vl-shadowcheck-state-p st).

new-x — Type (vl-modulelist-p new-x).

Definitions and Theorems

Function: vl-shadowcheck-modules

(defun vl-shadowcheck-modules (x st)
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (vl-shadowcheck-state-p st))))
  (let ((__function__ 'vl-shadowcheck-modules))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (mv (vl-shadowcheck-state-fix st) nil))
         ((mv st car)
          (vl-shadowcheck-module (car x) st))
         ((mv st rest)
          (vl-shadowcheck-modules (cdr x) st)))
      (mv st (cons car rest)))))

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

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

Theorem: vl-modulelist-p-of-vl-shadowcheck-modules.new-x

(defthm vl-modulelist-p-of-vl-shadowcheck-modules.new-x
  (b* (((mv ?st ?new-x)
        (vl-shadowcheck-modules x st)))
    (vl-modulelist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-shadowcheck-modules-of-vl-modulelist-fix-x

(defthm vl-shadowcheck-modules-of-vl-modulelist-fix-x
  (equal (vl-shadowcheck-modules (vl-modulelist-fix x)
                                 st)
         (vl-shadowcheck-modules x st)))

Theorem: vl-shadowcheck-modules-vl-modulelist-equiv-congruence-on-x

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

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

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

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

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