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              • Vl-shadowcheck-genelement
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• Shadowcheck

Vl-shadowcheck-genelement

Main function for checking name shadowing.

Signature

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

Arguments

x — Guard (vl-genelement-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).

Theorem: return-type-of-vl-shadowcheck-genelement.st

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

Theorem: return-type-of-vl-shadowcheck-genelement.warnings

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

Theorem: return-type-of-vl-shadowcheck-genelementlist.st

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

Theorem: return-type-of-vl-shadowcheck-genelementlist.warnings

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

Theorem: return-type-of-vl-shadowcheck-genblock.st

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

Theorem: return-type-of-vl-shadowcheck-genblock.warnings

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

Theorem: return-type-of-vl-shadowcheck-gencaselist.st

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

Theorem: return-type-of-vl-shadowcheck-gencaselist.warnings

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Subtopics

Vl-shadowcheck-genelementlist

Vl-shadowcheck-gencaselist

Vl-shadowcheck-genblock