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• Caseelim

Vl-always-caseelim

Signature

(vl-always-caseelim x warnings ss) → (mv warnings new-x)

Arguments

x — Guard (vl-always-p x).

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

ss — Guard (vl-scopestack-p ss).

Returns

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

new-x — Type (vl-always-p new-x).

Definitions and Theorems

Function: vl-always-caseelim

(defun vl-always-caseelim (x warnings ss)
  (declare (xargs :guard (and (vl-always-p x)
                              (vl-warninglist-p warnings)
                              (vl-scopestack-p ss))))
  (let ((__function__ 'vl-always-caseelim))
    (declare (ignorable __function__))
    (b* ((x (vl-always-fix x))
         ((mv warnings stmt)
          (vl-stmt-caseelim (vl-always->stmt x)
                            x warnings ss))
         (x-prime (change-vl-always x :stmt stmt)))
      (mv warnings x-prime))))

Theorem: vl-warninglist-p-of-vl-always-caseelim.warnings

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

Theorem: vl-always-p-of-vl-always-caseelim.new-x

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

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

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

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

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

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

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

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

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

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

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

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

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