		Search-engine friendly clone of the ACL2 documentation.

Selresolve

Vl-expr-selresolve

Recursively simplify indices on selects and multiplicities on multiconcats throughout an expression.

Signature
(vl-expr-selresolve x ss warnings) → (mv warnings new-x)
Arguments: x — Guard (vl-expr-p x).; ss — Guard (vl-scopestack-p ss).; 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-selresolve.warnings

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

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

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

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

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

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

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

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

(defthm vl-expr-selresolve-of-vl-expr-fix-x
  (equal (vl-expr-selresolve (vl-expr-fix x)
                             ss warnings)
         (vl-expr-selresolve x ss warnings)))

Theorem: vl-expr-selresolve-of-vl-scopestack-fix-ss

(defthm vl-expr-selresolve-of-vl-scopestack-fix-ss
  (equal (vl-expr-selresolve x (vl-scopestack-fix ss)
                             warnings)
         (vl-expr-selresolve x ss warnings)))

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

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

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

(defthm vl-exprlist-selresolve-of-vl-exprlist-fix-x
  (equal (vl-exprlist-selresolve (vl-exprlist-fix x)
                                 ss warnings)
         (vl-exprlist-selresolve x ss warnings)))

Theorem: vl-exprlist-selresolve-of-vl-scopestack-fix-ss

(defthm vl-exprlist-selresolve-of-vl-scopestack-fix-ss
  (equal (vl-exprlist-selresolve x (vl-scopestack-fix ss)
                                 warnings)
         (vl-exprlist-selresolve x ss warnings)))

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

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

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

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

Theorem: vl-expr-selresolve-vl-scopestack-equiv-congruence-on-ss

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

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

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

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

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

Theorem: vl-exprlist-selresolve-vl-scopestack-equiv-congruence-on-ss

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

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

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

Subtopics

Vl-exprlist-selresolve