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• Vl-scopestack

Vl-scopestack-count

Measure for recurring over vl-scopestack structures.

Signature

(vl-scopestack-count x) → count

Arguments

x — Guard (vl-scopestack-p x).

Returns

count — Type (natp count).

Definitions and Theorems

Function: vl-scopestack-count

(defun vl-scopestack-count (x)
 (declare (xargs :guard (vl-scopestack-p x)))
 (let ((__function__ 'vl-scopestack-count))
  (declare (ignorable __function__))
  (common-lisp::case (vl-scopestack-kind x)
   (:null 1)
   (:global 1)
   (:local
        (+ 3
           (vl-scopestack-count (vl-scopestack-local->super x)))))))

Theorem: natp-of-vl-scopestack-count

(defthm natp-of-vl-scopestack-count
  (b* ((count (vl-scopestack-count x)))
    (natp count))
  :rule-classes :type-prescription)

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

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

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

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

Theorem: vl-scopestack-count-of-vl-scopestack-local

(defthm vl-scopestack-count-of-vl-scopestack-local
 (implies t
          (< (+ (vl-scopestack-count super))
             (vl-scopestack-count (vl-scopestack-local top super))))
 :rule-classes :linear)

Theorem: vl-scopestack-count-of-vl-scopestack-local->super

(defthm vl-scopestack-count-of-vl-scopestack-local->super
  (implies (equal (vl-scopestack-kind x) :local)
           (< (vl-scopestack-count (vl-scopestack-local->super x))
              (vl-scopestack-count x)))
  :rule-classes :linear)