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• Resolve-indexing

Vl-expr-resolve-indexing-aux

Core routine for introducing :vl-array-index and :vl-bitselect operators throughout a vl-expr-p.

Signature

(vl-expr-resolve-indexing-aux x ss warnings) 
  → 
(mv new-warnings changedp new-x)

Arguments

x — Guard (vl-expr-p x).

ss — Guard (vl-scopestack-p ss).

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

Returns

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

changedp — Optimization, don't re-cons index-free expresions.
    Type (booleanp changedp).

new-x — Type (vl-expr-p new-x).

Theorem: return-type-of-vl-expr-resolve-indexing-aux.new-warnings

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

Theorem: return-type-of-vl-expr-resolve-indexing-aux.changedp

(defthm return-type-of-vl-expr-resolve-indexing-aux.changedp
  (b* (((mv ?new-warnings ?changedp ?new-x)
        (vl-expr-resolve-indexing-aux x ss warnings)))
    (booleanp changedp))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-expr-resolve-indexing-aux.new-x

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

Theorem: return-type-of-vl-exprlist-resolve-indexing-aux.new-warnings

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

Theorem: return-type-of-vl-exprlist-resolve-indexing-aux.changedp

(defthm return-type-of-vl-exprlist-resolve-indexing-aux.changedp
  (b* (((mv ?new-warnings ?changedp ?new-x)
        (vl-exprlist-resolve-indexing-aux x ss warnings)))
    (booleanp changedp))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-exprlist-resolve-indexing-aux.new-x

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

Theorem: true-listp-of-vl-exprlist-resolve-indexing-aux

(defthm true-listp-of-vl-exprlist-resolve-indexing-aux
  (b* (((mv ?warnings ?changedp new-x)
        (vl-exprlist-resolve-indexing-aux x ss warnings)))
    (true-listp new-x))
  :rule-classes :type-prescription)

Theorem: vl-expr-resolve-indexing-aux-of-vl-expr-fix-x

(defthm vl-expr-resolve-indexing-aux-of-vl-expr-fix-x
  (equal (vl-expr-resolve-indexing-aux (vl-expr-fix x)
                                       ss warnings)
         (vl-expr-resolve-indexing-aux x ss warnings)))

Theorem: vl-expr-resolve-indexing-aux-of-vl-scopestack-fix-ss

(defthm vl-expr-resolve-indexing-aux-of-vl-scopestack-fix-ss
  (equal (vl-expr-resolve-indexing-aux x (vl-scopestack-fix ss)
                                       warnings)
         (vl-expr-resolve-indexing-aux x ss warnings)))

Theorem: vl-expr-resolve-indexing-aux-of-vl-warninglist-fix-warnings

(defthm vl-expr-resolve-indexing-aux-of-vl-warninglist-fix-warnings
 (equal
   (vl-expr-resolve-indexing-aux x ss (vl-warninglist-fix warnings))
   (vl-expr-resolve-indexing-aux x ss warnings)))

Theorem: vl-exprlist-resolve-indexing-aux-of-vl-exprlist-fix-x

(defthm vl-exprlist-resolve-indexing-aux-of-vl-exprlist-fix-x
  (equal (vl-exprlist-resolve-indexing-aux (vl-exprlist-fix x)
                                           ss warnings)
         (vl-exprlist-resolve-indexing-aux x ss warnings)))

Theorem: vl-exprlist-resolve-indexing-aux-of-vl-scopestack-fix-ss

(defthm vl-exprlist-resolve-indexing-aux-of-vl-scopestack-fix-ss
  (equal (vl-exprlist-resolve-indexing-aux x (vl-scopestack-fix ss)
                                           warnings)
         (vl-exprlist-resolve-indexing-aux x ss warnings)))

Theorem: vl-exprlist-resolve-indexing-aux-of-vl-warninglist-fix-warnings

(defthm
    vl-exprlist-resolve-indexing-aux-of-vl-warninglist-fix-warnings
  (equal (vl-exprlist-resolve-indexing-aux
              x ss (vl-warninglist-fix warnings))
         (vl-exprlist-resolve-indexing-aux x ss warnings)))

Theorem: vl-expr-resolve-indexing-aux-vl-expr-equiv-congruence-on-x

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

Theorem: vl-expr-resolve-indexing-aux-vl-scopestack-equiv-congruence-on-ss

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

Theorem: vl-expr-resolve-indexing-aux-vl-warninglist-equiv-congruence-on-warnings

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

Theorem: vl-exprlist-resolve-indexing-aux-vl-exprlist-equiv-congruence-on-x

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

Theorem: vl-exprlist-resolve-indexing-aux-vl-scopestack-equiv-congruence-on-ss

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

Theorem: vl-exprlist-resolve-indexing-aux-vl-warninglist-equiv-congruence-on-warnings

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

Subtopics

Vl-exprlist-resolve-indexing-aux