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Escape-u

Escape-u->get

Get the get field from a escape-u.

Signature
(escape-u->get x) → get
Arguments: x — Guard (escapep x).
Returns: get — Type (hex-quadp get).

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

Definitions and Theorems

Function: escape-u->get$inline

(defun escape-u->get$inline (x)
  (declare (xargs :guard (escapep x)))
  (declare (xargs :guard (equal (escape-kind x) :u)))
  (let ((__function__ 'escape-u->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (escape-kind x) :u) x)))
           (hex-quad-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: hex-quadp-of-escape-u->get

(defthm hex-quadp-of-escape-u->get
  (b* ((get (escape-u->get$inline x)))
    (hex-quadp get))
  :rule-classes :rewrite)

Theorem: escape-u->get$inline-of-escape-fix-x

(defthm escape-u->get$inline-of-escape-fix-x
  (equal (escape-u->get$inline (escape-fix x))
         (escape-u->get$inline x)))

Theorem: escape-u->get$inline-escape-equiv-congruence-on-x

(defthm escape-u->get$inline-escape-equiv-congruence-on-x
  (implies (escape-equiv x x-equiv)
           (equal (escape-u->get$inline x)
                  (escape-u->get$inline x-equiv)))
  :rule-classes :congruence)

Theorem: escape-u->get-when-wrong-kind

(defthm escape-u->get-when-wrong-kind
  (implies (not (equal (escape-kind x) :u))
           (equal (escape-u->get x)
                  (hex-quad-fix nil))))