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• Oprewrite

Vl-maybe-expr-oprewrite

Rewrite operators throughout a vl-maybe-expr-p

Signature

(vl-maybe-expr-oprewrite x warnings) → (mv warnings new-x)

Arguments

x — Guard (vl-maybe-expr-p x).

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

Returns

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

new-x — Type (vl-maybe-expr-p new-x).

Definitions and Theorems

Function: vl-maybe-expr-oprewrite

(defun vl-maybe-expr-oprewrite (x warnings)
  (declare (xargs :guard (and (vl-maybe-expr-p x)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-maybe-expr-oprewrite))
    (declare (ignorable __function__))
    (b* ((x (vl-maybe-expr-fix x)))
      (if (not x)
          (mv (ok) nil)
        (vl-expr-oprewrite x warnings)))))

Theorem: vl-warninglist-p-of-vl-maybe-expr-oprewrite.warnings

(defthm vl-warninglist-p-of-vl-maybe-expr-oprewrite.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-maybe-expr-oprewrite x warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-maybe-expr-p-of-vl-maybe-expr-oprewrite.new-x

(defthm vl-maybe-expr-p-of-vl-maybe-expr-oprewrite.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-maybe-expr-oprewrite x warnings)))
    (vl-maybe-expr-p new-x))
  :rule-classes :rewrite)

Theorem: vl-maybe-expr-oprewrite-of-vl-maybe-expr-fix-x

(defthm vl-maybe-expr-oprewrite-of-vl-maybe-expr-fix-x
  (equal (vl-maybe-expr-oprewrite (vl-maybe-expr-fix x)
                                  warnings)
         (vl-maybe-expr-oprewrite x warnings)))

Theorem: vl-maybe-expr-oprewrite-vl-maybe-expr-equiv-congruence-on-x

(defthm vl-maybe-expr-oprewrite-vl-maybe-expr-equiv-congruence-on-x
  (implies (vl-maybe-expr-equiv x x-equiv)
           (equal (vl-maybe-expr-oprewrite x warnings)
                  (vl-maybe-expr-oprewrite x-equiv warnings)))
  :rule-classes :congruence)

Theorem: vl-maybe-expr-oprewrite-of-vl-warninglist-fix-warnings

(defthm vl-maybe-expr-oprewrite-of-vl-warninglist-fix-warnings
  (equal (vl-maybe-expr-oprewrite x (vl-warninglist-fix warnings))
         (vl-maybe-expr-oprewrite x warnings)))

Theorem: vl-maybe-expr-oprewrite-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-maybe-expr-oprewrite-vl-warninglist-equiv-congruence-on-warnings
 (implies (vl-warninglist-equiv warnings warnings-equiv)
          (equal (vl-maybe-expr-oprewrite x warnings)
                 (vl-maybe-expr-oprewrite x warnings-equiv)))
 :rule-classes :congruence)