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• Ipasir$a

Ipasir$a->callback-count

Get the callback-count field from a ipasir$a.

Signature

(ipasir$a->callback-count x) → callback-count

Arguments

x — Guard (ipasir$a-p x).

Returns

callback-count — Type (natp callback-count).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: ipasir$a->callback-count$inline

(defun ipasir$a->callback-count$inline (x)
       (declare (xargs :guard (ipasir$a-p x)))
       (declare (xargs :guard t))
       (let ((__function__ 'ipasir$a->callback-count))
            (declare (ignorable __function__))
            (mbe :logic (b* ((x (and t x)))
                            (nfix (cdr (std::da-nth 6 x))))
                 :exec (cdr (std::da-nth 6 x)))))

Theorem: natp-of-ipasir$a->callback-count

(defthm natp-of-ipasir$a->callback-count
        (b* ((callback-count (ipasir$a->callback-count$inline x)))
            (natp callback-count))
        :rule-classes :rewrite)

Theorem: ipasir$a->callback-count$inline-of-ipasir$a-fix-x

(defthm ipasir$a->callback-count$inline-of-ipasir$a-fix-x
        (equal (ipasir$a->callback-count$inline (ipasir$a-fix x))
               (ipasir$a->callback-count$inline x)))

Theorem: ipasir$a->callback-count$inline-ipasir$a-equiv-congruence-on-x

(defthm
     ipasir$a->callback-count$inline-ipasir$a-equiv-congruence-on-x
     (implies (ipasir$a-equiv x x-equiv)
              (equal (ipasir$a->callback-count$inline x)
                     (ipasir$a->callback-count$inline x-equiv)))
     :rule-classes :congruence)