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Bool

Bool->get

Get the get field from a bool.

Signature
(bool->get x) → get
Arguments: x — Guard (boolp x).
Returns: get — Type (booleanp get).

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

Definitions and Theorems

Function: bool->get$inline

(defun bool->get$inline (x)
  (declare (xargs :guard (boolp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'bool->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::bool-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: booleanp-of-bool->get

(defthm booleanp-of-bool->get
  (b* ((get (bool->get$inline x)))
    (booleanp get))
  :rule-classes :rewrite)

Theorem: bool->get$inline-of-bool-fix-x

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

Theorem: bool->get$inline-bool-equiv-congruence-on-x

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