		Search-engine friendly clone of the ACL2 documentation.

Shadowcheck

Vl-shadowcheck-imports

Signature
(vl-shadowcheck-imports x st warnings) → (mv st warnings)
Arguments: x — Guard (vl-importlist-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-imports

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

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

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

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

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

Theorem: vl-shadowcheck-imports-of-vl-importlist-fix-x

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

Theorem: vl-shadowcheck-imports-vl-importlist-equiv-congruence-on-x

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

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

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

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

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

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

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

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

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