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• Address

Svex-alist-add-delay

Signature

(svex-alist-add-delay x delay) → new-x

Arguments

x — Guard (svex-alist-p x).

delay — Guard (natp delay).

Returns

new-x — Type (svex-alist-p new-x).

Definitions and Theorems

Function: svex-alist-add-delay

(defun svex-alist-add-delay (x delay)
  (declare (xargs :guard (and (svex-alist-p x) (natp delay))))
  (let ((__function__ 'svex-alist-add-delay))
    (declare (ignorable __function__))
    (b* ((ans (pairlis$ (svex-alist-keys x)
                        (svexlist-add-delay (svex-alist-vals x)
                                            delay))))
      (clear-memoize-table 'svex-add-delay)
      ans)))

Theorem: svex-alist-p-of-svex-alist-add-delay

(defthm svex-alist-p-of-svex-alist-add-delay
  (b* ((new-x (svex-alist-add-delay x delay)))
    (svex-alist-p new-x))
  :rule-classes :rewrite)

Theorem: keys-of-svex-alist-add-delay

(defthm keys-of-svex-alist-add-delay
  (b* ((new-x (svex-alist-add-delay x delay)))
    (iff (svex-lookup v new-x)
         (svex-lookup v x)))
  :rule-classes :rewrite)

Theorem: vars-of-svex-alist-add-delay

(defthm vars-of-svex-alist-add-delay
  (b* ((new-x (svex-alist-add-delay x delay)))
    (implies (svarlist-addr-p (svex-alist-vars x))
             (svarlist-addr-p (svex-alist-vars new-x))))
  :rule-classes :rewrite)

Theorem: svex-alist-add-delay-of-svex-alist-fix-x

(defthm svex-alist-add-delay-of-svex-alist-fix-x
  (equal (svex-alist-add-delay (svex-alist-fix x)
                               delay)
         (svex-alist-add-delay x delay)))

Theorem: svex-alist-add-delay-svex-alist-equiv-congruence-on-x

(defthm svex-alist-add-delay-svex-alist-equiv-congruence-on-x
  (implies (svex-alist-equiv x x-equiv)
           (equal (svex-alist-add-delay x delay)
                  (svex-alist-add-delay x-equiv delay)))
  :rule-classes :congruence)

Theorem: svex-alist-add-delay-of-nfix-delay

(defthm svex-alist-add-delay-of-nfix-delay
  (equal (svex-alist-add-delay x (nfix delay))
         (svex-alist-add-delay x delay)))

Theorem: svex-alist-add-delay-nat-equiv-congruence-on-delay

(defthm svex-alist-add-delay-nat-equiv-congruence-on-delay
  (implies (nat-equiv delay delay-equiv)
           (equal (svex-alist-add-delay x delay)
                  (svex-alist-add-delay x delay-equiv)))
  :rule-classes :congruence)