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Smtlink-hint

Smtlink-hint->main-hint

Get the main-hint field from a smtlink-hint.

Signature
(smtlink-hint->main-hint x) → main-hint
Arguments: x — Guard (smtlink-hint-p x).
Returns: main-hint — Type (true-listp main-hint).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: smtlink-hint->main-hint$inline

(defun smtlink-hint->main-hint$inline (x)
  (declare (xargs :guard (smtlink-hint-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'smtlink-hint->main-hint))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (true-list-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: true-listp-of-smtlink-hint->main-hint

(defthm true-listp-of-smtlink-hint->main-hint
  (b* ((main-hint (smtlink-hint->main-hint$inline x)))
    (true-listp main-hint))
  :rule-classes :rewrite)

Theorem: smtlink-hint->main-hint$inline-of-smtlink-hint-fix-x

(defthm smtlink-hint->main-hint$inline-of-smtlink-hint-fix-x
  (equal (smtlink-hint->main-hint$inline (smtlink-hint-fix x))
         (smtlink-hint->main-hint$inline x)))

Theorem: smtlink-hint->main-hint$inline-smtlink-hint-equiv-congruence-on-x

(defthm
  smtlink-hint->main-hint$inline-smtlink-hint-equiv-congruence-on-x
  (implies (smtlink-hint-equiv x x-equiv)
           (equal (smtlink-hint->main-hint$inline x)
                  (smtlink-hint->main-hint$inline x-equiv)))
  :rule-classes :congruence)