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Location-tuple-comp

Location-tuple-comp->tuple

Get the tuple field from a location-tuple-comp.

Signature
(location-tuple-comp->tuple x) → tuple
Arguments: x — Guard (locationp x).
Returns: tuple — Type (locationp tuple).

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

Definitions and Theorems

Function: location-tuple-comp->tuple$inline

(defun location-tuple-comp->tuple$inline (x)
  (declare (xargs :guard (locationp x)))
  (declare (xargs :guard (equal (location-kind x) :tuple-comp)))
  (let ((__function__ 'location-tuple-comp->tuple))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (location-kind x) :tuple-comp)
                      x)))
           (location-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: locationp-of-location-tuple-comp->tuple

(defthm locationp-of-location-tuple-comp->tuple
  (b* ((tuple (location-tuple-comp->tuple$inline x)))
    (locationp tuple))
  :rule-classes :rewrite)

Theorem: location-tuple-comp->tuple$inline-of-location-fix-x

(defthm location-tuple-comp->tuple$inline-of-location-fix-x
  (equal (location-tuple-comp->tuple$inline (location-fix x))
         (location-tuple-comp->tuple$inline x)))

Theorem: location-tuple-comp->tuple$inline-location-equiv-congruence-on-x

(defthm
   location-tuple-comp->tuple$inline-location-equiv-congruence-on-x
  (implies (location-equiv x x-equiv)
           (equal (location-tuple-comp->tuple$inline x)
                  (location-tuple-comp->tuple$inline x-equiv)))
  :rule-classes :congruence)

Theorem: location-tuple-comp->tuple-when-wrong-kind

(defthm location-tuple-comp->tuple-when-wrong-kind
  (implies (not (equal (location-kind x) :tuple-comp))
           (equal (location-tuple-comp->tuple x)
                  (location-fix nil))))