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Smtlink-hint

Smtlink-hint->fast-functions

Get the fast-functions field from a smtlink-hint.

Signature
(smtlink-hint->fast-functions x) → fast-functions
Arguments: x — Guard (smtlink-hint-p x).
Returns: fast-functions — Type (func-alistp fast-functions).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: smtlink-hint->fast-functions$inline

(defun smtlink-hint->fast-functions$inline (x)
  (declare (xargs :guard (smtlink-hint-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'smtlink-hint->fast-functions))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (func-alist-fix (cdr (std::da-nth 14 x))))
         :exec (cdr (std::da-nth 14 x)))))

Theorem: func-alistp-of-smtlink-hint->fast-functions

(defthm func-alistp-of-smtlink-hint->fast-functions
  (b* ((fast-functions (smtlink-hint->fast-functions$inline x)))
    (func-alistp fast-functions))
  :rule-classes :rewrite)

Theorem: smtlink-hint->fast-functions$inline-of-smtlink-hint-fix-x

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

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

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