		Search-engine friendly clone of the ACL2 documentation.

Oprewrite

Vl-expr-oprewrite

(vl-expr-oprewrite x warnings) rewrites operators throughout the vl-expr-p x and returns (mv warnings-prime x-prime).

Signature
(vl-expr-oprewrite x warnings) → (mv warnings new-x)
Arguments: x — Guard (vl-expr-p x).; warnings — Guard (vl-warninglist-p warnings).
Returns: warnings — Type (vl-warninglist-p warnings).; new-x — Type (vl-expr-p new-x).

Theorem: return-type-of-vl-expr-oprewrite.warnings

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

Theorem: return-type-of-vl-expr-oprewrite.new-x

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

Theorem: return-type-of-vl-exprlist-oprewrite.warnings

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

Theorem: return-type-of-vl-exprlist-oprewrite.new-x

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

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

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

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

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

Theorem: vl-exprlist-oprewrite-of-vl-exprlist-fix-x

(defthm vl-exprlist-oprewrite-of-vl-exprlist-fix-x
  (equal (vl-exprlist-oprewrite (vl-exprlist-fix x)
                                warnings)
         (vl-exprlist-oprewrite x warnings)))

Theorem: vl-exprlist-oprewrite-of-vl-warninglist-fix-warnings

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

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

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

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

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

Theorem: vl-exprlist-oprewrite-vl-exprlist-equiv-congruence-on-x

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

Theorem: vl-exprlist-oprewrite-vl-warninglist-equiv-congruence-on-warnings

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

Subtopics

Vl-exprlist-oprewrite