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Valid-ord-info-objfun

Valid-ord-info-objfun->uid

Get the uid field from a valid-ord-info-objfun.

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

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

Definitions and Theorems

Function: valid-ord-info-objfun->uid$inline

(defun valid-ord-info-objfun->uid$inline (x)
  (declare (xargs :guard (valid-ord-infop x)))
  (declare (xargs :guard (equal (valid-ord-info-kind x)
                                :objfun)))
  (mbe :logic
       (b* ((x (and (equal (valid-ord-info-kind x) :objfun)
                    x)))
         (uid-fix (std::da-nth 3 (cdr x))))
       :exec (std::da-nth 3 (cdr x))))

Theorem: uidp-of-valid-ord-info-objfun->uid

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

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

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

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

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

Theorem: valid-ord-info-objfun->uid-when-wrong-kind

(defthm valid-ord-info-objfun->uid-when-wrong-kind
  (implies (not (equal (valid-ord-info-kind x) :objfun))
           (equal (valid-ord-info-objfun->uid x)
                  (uid-fix nil))))