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• Vl-genblob

Vl-genblob-count

Signature

(vl-genblob-count x) → count

Arguments

x — Guard (vl-genblob-p x).

Returns

count — Type (posp count).

Definitions and Theorems

Theorem: vl-genblob-count-greater-than-generates

(defthm vl-genblob-count-greater-than-generates
  (b* ((common-lisp::?count (vl-genblob-count x)))
    (< (vl-genblob-generates-count (vl-genblob->generates x))
       count))
  :rule-classes :linear)

Theorem: vl-genblob-count-of-sort-genelements-normalize

(defthm vl-genblob-count-of-sort-genelements-normalize
 (implies
  (syntaxp (or (not (equal name ''nil))
               (not (equal scopetype '':vl-anonymous-scope))))
  (equal
       (vl-genblob-count (vl-sort-genelements x
                                              :id name
                                              :scopetype scopetype))
       (vl-genblob-count (vl-sort-genelements x)))))

Theorem: return-type-of-vl-genblob-count.count

(defthm return-type-of-vl-genblob-count.count
  (b* ((common-lisp::?count (vl-genblob-count x)))
    (posp count))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-genblob-generates-count.count

(defthm return-type-of-vl-genblob-generates-count.count
  (b* ((common-lisp::?count (vl-genblob-generates-count x)))
    (posp count))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-genblob-genblock-count.count

(defthm return-type-of-vl-genblob-genblock-count.count
  (b* ((common-lisp::?count (vl-genblob-genblock-count x)))
    (posp count))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-genblob-generate-count.count

(defthm return-type-of-vl-genblob-generate-count.count
  (b* ((common-lisp::?count (vl-genblob-generate-count x)))
    (posp count))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-genblob-gencaselist-count.count

(defthm return-type-of-vl-genblob-gencaselist-count.count
  (b* ((common-lisp::?count (vl-genblob-gencaselist-count x)))
    (posp count))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-genblob-elementlist-count.count

(defthm return-type-of-vl-genblob-elementlist-count.count
  (b* ((common-lisp::?count (vl-genblob-elementlist-count x)))
    (posp count))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-genblob-genblocklist-count.count

(defthm return-type-of-vl-genblob-genblocklist-count.count
  (b* ((common-lisp::?count (vl-genblob-genblocklist-count x)))
    (posp count))
  :rule-classes :type-prescription)

Theorem: vl-genblob-count-greater-than-generates

(defthm vl-genblob-count-greater-than-generates
  (b* ((common-lisp::?count (vl-genblob-count x)))
    (< (vl-genblob-generates-count (vl-genblob->generates x))
       count))
  :rule-classes :linear)

Theorem: vl-genblob-count-of-sort-genelements-normalize

(defthm vl-genblob-count-of-sort-genelements-normalize
 (implies
  (syntaxp (or (not (equal name ''nil))
               (not (equal scopetype '':vl-anonymous-scope))))
  (equal
       (vl-genblob-count (vl-sort-genelements x
                                              :id name
                                              :scopetype scopetype))
       (vl-genblob-count (vl-sort-genelements x)))))

Theorem: vl-genblob-generates-count-greater-than-first

(defthm vl-genblob-generates-count-greater-than-first
  (b* ((common-lisp::?count (vl-genblob-generates-count x)))
    (implies (consp x)
             (< (vl-genblob-generate-count (car x))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-generates-count-gte-rest

(defthm vl-genblob-generates-count-gte-rest
  (b* ((common-lisp::?count (vl-genblob-generates-count x)))
    (<= (vl-genblob-generates-count (cdr x))
        count))
  :rule-classes :linear)

Theorem: vl-genblob-generates-count-greater-than-rest

(defthm vl-genblob-generates-count-greater-than-rest
  (b* ((common-lisp::?count (vl-genblob-generates-count x)))
    (implies (consp x)
             (< (vl-genblob-generates-count (cdr x))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-genblock-count-greater-than-sorted

(defthm vl-genblob-genblock-count-greater-than-sorted
  (b* nil
    (< (vl-genblob-count (vl-sort-genelements (vl-genblock->elems x)
                                              :id name
                                              :scopetype type))
       (vl-genblob-genblock-count x)))
  :rule-classes :linear)

Theorem: vl-genblob-generate-count-greater-than-genbegin-block

(defthm vl-genblob-generate-count-greater-than-genbegin-block
  (b* ((common-lisp::?count (vl-genblob-generate-count x)))
    (implies (vl-genelement-case x :vl-genbegin)
             (< (vl-genblob-genblock-count (vl-genbegin->block x))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-generate-count-greater-than-genblockarray-blocks

(defthm vl-genblob-generate-count-greater-than-genblockarray-blocks
  (b* ((common-lisp::?count (vl-genblob-generate-count x)))
    (implies
         (vl-genelement-case x :vl-genarray)
         (< (vl-genblob-genblocklist-count (vl-genarray->blocks x))
            count)))
  :rule-classes :linear)

Theorem: vl-genblob-generate-count-greater-than-genif-blocks

(defthm vl-genblob-generate-count-greater-than-genif-blocks
  (b* ((common-lisp::?count (vl-genblob-generate-count x)))
    (implies (vl-genelement-case x :vl-genif)
             (< (+ (vl-genblob-genblock-count (vl-genif->then x))
                   (vl-genblob-genblock-count (vl-genif->else x)))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-generate-count-greater-than-gencase-blocks

(defthm vl-genblob-generate-count-greater-than-gencase-blocks
  (b* ((common-lisp::?count (vl-genblob-generate-count x)))
    (implies
         (vl-genelement-case x :vl-gencase)
         (< (+ (vl-genblob-genblock-count (vl-gencase->default x))
               (vl-genblob-gencaselist-count (vl-gencase->cases x)))
            count)))
  :rule-classes :linear)

Theorem: vl-genblob-generate-count-greater-than-genloop-blocks

(defthm vl-genblob-generate-count-greater-than-genloop-blocks
  (b* ((common-lisp::?count (vl-genblob-generate-count x)))
    (implies (vl-genelement-case x :vl-genloop)
             (< (vl-genblob-genblock-count (vl-genloop->body x))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-generate-count-greater-than-genbase-item

(defthm vl-genblob-generate-count-greater-than-genbase-item
  (b* ((common-lisp::?count (vl-genblob-generate-count x)))
    (implies (vl-genelement-case x :vl-genbase)
             (< (vl-genblob-elementlist-count (list x))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-gencaselist-count-greater-than-first

(defthm vl-genblob-gencaselist-count-greater-than-first
 (b* ((common-lisp::?count (vl-genblob-gencaselist-count x)))
   (implies
        (consp (vl-gencaselist-fix x))
        (< (vl-genblob-genblock-count (cdar (vl-gencaselist-fix x)))
           count)))
 :rule-classes :linear)

Theorem: vl-genblob-gencaselist-count-gte-rest

(defthm vl-genblob-gencaselist-count-gte-rest
  (b* ((common-lisp::?count (vl-genblob-gencaselist-count x)))
    (<= (vl-genblob-gencaselist-count (cdr (vl-gencaselist-fix x)))
        count))
  :rule-classes :linear)

Theorem: vl-genblob-gencaselist-count-greater-than-rest

(defthm vl-genblob-gencaselist-count-greater-than-rest
 (b* ((common-lisp::?count (vl-genblob-gencaselist-count x)))
  (implies
      (consp (vl-gencaselist-fix x))
      (< (vl-genblob-gencaselist-count (cdr (vl-gencaselist-fix x)))
         count)))
 :rule-classes :linear)

Theorem: vl-genblob-elementlist-count-greater-than-genblob-count

(defthm vl-genblob-elementlist-count-greater-than-genblob-count
  (b* ((common-lisp::?count (vl-genblob-elementlist-count x)))
    (< (vl-genblob-count (vl-sort-genelements x))
       count))
  :rule-classes :linear)

Theorem: vl-genblob-genblocklist-count-greater-than-first

(defthm vl-genblob-genblocklist-count-greater-than-first
  (b* ((common-lisp::?count (vl-genblob-genblocklist-count x)))
    (implies (consp x)
             (< (vl-genblob-genblock-count (car x))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-genblocklist-count-gte-rest

(defthm vl-genblob-genblocklist-count-gte-rest
  (b* ((common-lisp::?count (vl-genblob-genblocklist-count x)))
    (<= (vl-genblob-genblocklist-count (cdr x))
        count))
  :rule-classes :linear)

Theorem: vl-genblob-genblocklist-count-greater-than-rest

(defthm vl-genblob-genblocklist-count-greater-than-rest
  (b* ((common-lisp::?count (vl-genblob-genblocklist-count x)))
    (implies (consp x)
             (< (vl-genblob-genblocklist-count (cdr x))
                count)))
  :rule-classes :linear)

Theorem: vl-genblob-count-of-vl-genblob-fix-x

(defthm vl-genblob-count-of-vl-genblob-fix-x
  (equal (vl-genblob-count (vl-genblob-fix x))
         (vl-genblob-count x)))

Theorem: vl-genblob-generates-count-of-vl-genelementlist-fix-x

(defthm vl-genblob-generates-count-of-vl-genelementlist-fix-x
  (equal (vl-genblob-generates-count (vl-genelementlist-fix x))
         (vl-genblob-generates-count x)))

Theorem: vl-genblob-genblock-count-of-vl-genblock-fix-x

(defthm vl-genblob-genblock-count-of-vl-genblock-fix-x
  (equal (vl-genblob-genblock-count (vl-genblock-fix x))
         (vl-genblob-genblock-count x)))

Theorem: vl-genblob-generate-count-of-vl-genelement-fix-x

(defthm vl-genblob-generate-count-of-vl-genelement-fix-x
  (equal (vl-genblob-generate-count (vl-genelement-fix x))
         (vl-genblob-generate-count x)))

Theorem: vl-genblob-gencaselist-count-of-vl-gencaselist-fix-x

(defthm vl-genblob-gencaselist-count-of-vl-gencaselist-fix-x
  (equal (vl-genblob-gencaselist-count (vl-gencaselist-fix x))
         (vl-genblob-gencaselist-count x)))

Theorem: vl-genblob-elementlist-count-of-vl-genelementlist-fix-x

(defthm vl-genblob-elementlist-count-of-vl-genelementlist-fix-x
  (equal (vl-genblob-elementlist-count (vl-genelementlist-fix x))
         (vl-genblob-elementlist-count x)))

Theorem: vl-genblob-genblocklist-count-of-vl-genblocklist-fix-x

(defthm vl-genblob-genblocklist-count-of-vl-genblocklist-fix-x
  (equal (vl-genblob-genblocklist-count (vl-genblocklist-fix x))
         (vl-genblob-genblocklist-count x)))

Theorem: vl-genblob-count-vl-genblob-equiv-congruence-on-x

(defthm vl-genblob-count-vl-genblob-equiv-congruence-on-x
  (implies (vl-genblob-equiv x x-equiv)
           (equal (vl-genblob-count x)
                  (vl-genblob-count x-equiv)))
  :rule-classes :congruence)

Theorem: vl-genblob-generates-count-vl-genelementlist-equiv-congruence-on-x

(defthm
 vl-genblob-generates-count-vl-genelementlist-equiv-congruence-on-x
 (implies (vl-genelementlist-equiv x x-equiv)
          (equal (vl-genblob-generates-count x)
                 (vl-genblob-generates-count x-equiv)))
 :rule-classes :congruence)

Theorem: vl-genblob-genblock-count-vl-genblock-equiv-congruence-on-x

(defthm vl-genblob-genblock-count-vl-genblock-equiv-congruence-on-x
  (implies (vl-genblock-equiv x x-equiv)
           (equal (vl-genblob-genblock-count x)
                  (vl-genblob-genblock-count x-equiv)))
  :rule-classes :congruence)

Theorem: vl-genblob-generate-count-vl-genelement-equiv-congruence-on-x

(defthm
      vl-genblob-generate-count-vl-genelement-equiv-congruence-on-x
  (implies (vl-genelement-equiv x x-equiv)
           (equal (vl-genblob-generate-count x)
                  (vl-genblob-generate-count x-equiv)))
  :rule-classes :congruence)

Theorem: vl-genblob-gencaselist-count-vl-gencaselist-equiv-congruence-on-x

(defthm
  vl-genblob-gencaselist-count-vl-gencaselist-equiv-congruence-on-x
  (implies (vl-gencaselist-equiv x x-equiv)
           (equal (vl-genblob-gencaselist-count x)
                  (vl-genblob-gencaselist-count x-equiv)))
  :rule-classes :congruence)

Theorem: vl-genblob-elementlist-count-vl-genelementlist-equiv-congruence-on-x

(defthm
 vl-genblob-elementlist-count-vl-genelementlist-equiv-congruence-on-x
 (implies (vl-genelementlist-equiv x x-equiv)
          (equal (vl-genblob-elementlist-count x)
                 (vl-genblob-elementlist-count x-equiv)))
 :rule-classes :congruence)

Theorem: vl-genblob-genblocklist-count-vl-genblocklist-equiv-congruence-on-x

(defthm
 vl-genblob-genblocklist-count-vl-genblocklist-equiv-congruence-on-x
 (implies (vl-genblocklist-equiv x x-equiv)
          (equal (vl-genblob-genblocklist-count x)
                 (vl-genblob-genblocklist-count x-equiv)))
 :rule-classes :congruence)

Subtopics

Vl-genblob-generate-count

Vl-genblob-gencaselist-count

Vl-genblob-generates-count

Vl-genblob-genblocklist-count

Vl-genblob-genblock-count

Vl-genblob-elementlist-count