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Valid-ext-info

Valid-ext-info->uid

Get the uid field from a valid-ext-info.

Signature
(valid-ext-info->uid x) → uid
Arguments: x — Guard (valid-ext-infop x).
Returns: uid — Type (uidp uid).

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

Definitions and Theorems

Function: valid-ext-info->uid$inline

(defun valid-ext-info->uid$inline (x)
  (declare (xargs :guard (valid-ext-infop x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (uid-fix (cdr (std::da-nth 2 x))))
       :exec (cdr (std::da-nth 2 x))))

Theorem: uidp-of-valid-ext-info->uid

(defthm uidp-of-valid-ext-info->uid
  (b* ((uid (valid-ext-info->uid$inline x)))
    (uidp uid))
  :rule-classes :rewrite)

Theorem: valid-ext-info->uid$inline-of-valid-ext-info-fix-x

(defthm valid-ext-info->uid$inline-of-valid-ext-info-fix-x
  (equal (valid-ext-info->uid$inline (valid-ext-info-fix x))
         (valid-ext-info->uid$inline x)))

Theorem: valid-ext-info->uid$inline-valid-ext-info-equiv-congruence-on-x

(defthm
    valid-ext-info->uid$inline-valid-ext-info-equiv-congruence-on-x
  (implies (valid-ext-info-equiv x x-equiv)
           (equal (valid-ext-info->uid$inline x)
                  (valid-ext-info->uid$inline x-equiv)))
  :rule-classes :congruence)