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• Caseelim

Vl-stmt-caseelim

Recursively eliminate case, casez, and casex statements within a statement.

Signature

(vl-stmt-caseelim x ctx warnings ss) → (mv warnings new-x)

Arguments

x — Guard (vl-stmt-p x).

ctx — Guard (vl-modelement-p ctx).

warnings — Guard (vl-warninglist-p warnings).

ss — Guard (vl-scopestack-p ss).

Returns

warnings — Type (vl-warninglist-p warnings).

new-x — Type (vl-stmt-p new-x).

Theorem: return-type-of-vl-stmt-caseelim.warnings

(defthm return-type-of-vl-stmt-caseelim.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-stmt-caseelim x ctx warnings ss)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-stmt-caseelim.new-x

(defthm return-type-of-vl-stmt-caseelim.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-stmt-caseelim x ctx warnings ss)))
    (vl-stmt-p new-x))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-stmtlist-caseelim.warnings

(defthm return-type-of-vl-stmtlist-caseelim.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-stmtlist-caseelim x ctx warnings ss)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-stmtlist-caseelim.new-x

(defthm return-type-of-vl-stmtlist-caseelim.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-stmtlist-caseelim x ctx warnings ss)))
    (and (vl-stmtlist-p new-x)
         (equal (len new-x) (len x))))
  :rule-classes :rewrite)

Theorem: vl-stmt-caseelim-of-vl-stmt-fix-x

(defthm vl-stmt-caseelim-of-vl-stmt-fix-x
  (equal (vl-stmt-caseelim (vl-stmt-fix x)
                           ctx warnings ss)
         (vl-stmt-caseelim x ctx warnings ss)))

Theorem: vl-stmt-caseelim-of-vl-modelement-fix-ctx

(defthm vl-stmt-caseelim-of-vl-modelement-fix-ctx
  (equal (vl-stmt-caseelim x (vl-modelement-fix ctx)
                           warnings ss)
         (vl-stmt-caseelim x ctx warnings ss)))

Theorem: vl-stmt-caseelim-of-vl-warninglist-fix-warnings

(defthm vl-stmt-caseelim-of-vl-warninglist-fix-warnings
  (equal (vl-stmt-caseelim x ctx (vl-warninglist-fix warnings)
                           ss)
         (vl-stmt-caseelim x ctx warnings ss)))

Theorem: vl-stmt-caseelim-of-vl-scopestack-fix-ss

(defthm vl-stmt-caseelim-of-vl-scopestack-fix-ss
  (equal (vl-stmt-caseelim x ctx warnings (vl-scopestack-fix ss))
         (vl-stmt-caseelim x ctx warnings ss)))

Theorem: vl-stmtlist-caseelim-of-vl-stmtlist-fix-x

(defthm vl-stmtlist-caseelim-of-vl-stmtlist-fix-x
  (equal (vl-stmtlist-caseelim (vl-stmtlist-fix x)
                               ctx warnings ss)
         (vl-stmtlist-caseelim x ctx warnings ss)))

Theorem: vl-stmtlist-caseelim-of-vl-modelement-fix-ctx

(defthm vl-stmtlist-caseelim-of-vl-modelement-fix-ctx
  (equal (vl-stmtlist-caseelim x (vl-modelement-fix ctx)
                               warnings ss)
         (vl-stmtlist-caseelim x ctx warnings ss)))

Theorem: vl-stmtlist-caseelim-of-vl-warninglist-fix-warnings

(defthm vl-stmtlist-caseelim-of-vl-warninglist-fix-warnings
  (equal (vl-stmtlist-caseelim x ctx (vl-warninglist-fix warnings)
                               ss)
         (vl-stmtlist-caseelim x ctx warnings ss)))

Theorem: vl-stmtlist-caseelim-of-vl-scopestack-fix-ss

(defthm vl-stmtlist-caseelim-of-vl-scopestack-fix-ss
 (equal (vl-stmtlist-caseelim x ctx warnings (vl-scopestack-fix ss))
        (vl-stmtlist-caseelim x ctx warnings ss)))

Theorem: vl-stmt-caseelim-vl-stmt-equiv-congruence-on-x

(defthm vl-stmt-caseelim-vl-stmt-equiv-congruence-on-x
  (implies (vl-stmt-equiv x x-equiv)
           (equal (vl-stmt-caseelim x ctx warnings ss)
                  (vl-stmt-caseelim x-equiv ctx warnings ss)))
  :rule-classes :congruence)

Theorem: vl-stmt-caseelim-vl-modelement-equiv-congruence-on-ctx

(defthm vl-stmt-caseelim-vl-modelement-equiv-congruence-on-ctx
  (implies (vl-modelement-equiv ctx ctx-equiv)
           (equal (vl-stmt-caseelim x ctx warnings ss)
                  (vl-stmt-caseelim x ctx-equiv warnings ss)))
  :rule-classes :congruence)

Theorem: vl-stmt-caseelim-vl-warninglist-equiv-congruence-on-warnings

(defthm vl-stmt-caseelim-vl-warninglist-equiv-congruence-on-warnings
  (implies (vl-warninglist-equiv warnings warnings-equiv)
           (equal (vl-stmt-caseelim x ctx warnings ss)
                  (vl-stmt-caseelim x ctx warnings-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-stmt-caseelim-vl-scopestack-equiv-congruence-on-ss

(defthm vl-stmt-caseelim-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-stmt-caseelim x ctx warnings ss)
                  (vl-stmt-caseelim x ctx warnings ss-equiv)))
  :rule-classes :congruence)

Theorem: vl-stmtlist-caseelim-vl-stmtlist-equiv-congruence-on-x

(defthm vl-stmtlist-caseelim-vl-stmtlist-equiv-congruence-on-x
  (implies (vl-stmtlist-equiv x x-equiv)
           (equal (vl-stmtlist-caseelim x ctx warnings ss)
                  (vl-stmtlist-caseelim x-equiv ctx warnings ss)))
  :rule-classes :congruence)

Theorem: vl-stmtlist-caseelim-vl-modelement-equiv-congruence-on-ctx

(defthm vl-stmtlist-caseelim-vl-modelement-equiv-congruence-on-ctx
  (implies (vl-modelement-equiv ctx ctx-equiv)
           (equal (vl-stmtlist-caseelim x ctx warnings ss)
                  (vl-stmtlist-caseelim x ctx-equiv warnings ss)))
  :rule-classes :congruence)

Theorem: vl-stmtlist-caseelim-vl-warninglist-equiv-congruence-on-warnings

(defthm
   vl-stmtlist-caseelim-vl-warninglist-equiv-congruence-on-warnings
  (implies (vl-warninglist-equiv warnings warnings-equiv)
           (equal (vl-stmtlist-caseelim x ctx warnings ss)
                  (vl-stmtlist-caseelim x ctx warnings-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-stmtlist-caseelim-vl-scopestack-equiv-congruence-on-ss

(defthm vl-stmtlist-caseelim-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-stmtlist-caseelim x ctx warnings ss)
                  (vl-stmtlist-caseelim x ctx warnings ss-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-stmtlist-caseelim