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Stat

Stat->addresses

Get the addresses field from a stat.

Signature
(stat->addresses x) → addresses
Arguments: x — Guard (statp x).
Returns: addresses — Type (natp addresses).

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

Definitions and Theorems

Function: stat->addresses$inline

(defun stat->addresses$inline (x)
  (declare (xargs :guard (statp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'stat->addresses))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: natp-of-stat->addresses

(defthm natp-of-stat->addresses
  (b* ((addresses (stat->addresses$inline x)))
    (natp addresses))
  :rule-classes :rewrite)

Theorem: stat->addresses$inline-of-stat-fix-x

(defthm stat->addresses$inline-of-stat-fix-x
  (equal (stat->addresses$inline (stat-fix x))
         (stat->addresses$inline x)))

Theorem: stat->addresses$inline-stat-equiv-congruence-on-x

(defthm stat->addresses$inline-stat-equiv-congruence-on-x
  (implies (stat-equiv x x-equiv)
           (equal (stat->addresses$inline x)
                  (stat->addresses$inline x-equiv)))
  :rule-classes :congruence)