		Search-engine friendly clone of the ACL2 documentation.

Jstatem-while

Jstatem-while->test

Get the test field from a jstatem-while.

Signature
(jstatem-while->test x) → test
Arguments: x — Guard (jstatemp x).
Returns: test — Type (jexprp test).

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

Definitions and Theorems

Function: jstatem-while->test$inline

(defun jstatem-while->test$inline (x)
  (declare (xargs :guard (jstatemp x)))
  (declare (xargs :guard (equal (jstatem-kind x) :while)))
  (let ((__function__ 'jstatem-while->test))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (jstatem-kind x) :while)
                      x)))
           (jexpr-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: jexprp-of-jstatem-while->test

(defthm jexprp-of-jstatem-while->test
  (b* ((test (jstatem-while->test$inline x)))
    (jexprp test))
  :rule-classes :rewrite)

Theorem: jstatem-while->test$inline-of-jstatem-fix-x

(defthm jstatem-while->test$inline-of-jstatem-fix-x
  (equal (jstatem-while->test$inline (jstatem-fix x))
         (jstatem-while->test$inline x)))

Theorem: jstatem-while->test$inline-jstatem-equiv-congruence-on-x

(defthm jstatem-while->test$inline-jstatem-equiv-congruence-on-x
  (implies (jstatem-equiv x x-equiv)
           (equal (jstatem-while->test$inline x)
                  (jstatem-while->test$inline x-equiv)))
  :rule-classes :congruence)

Theorem: jstatem-while->test-when-wrong-kind

(defthm jstatem-while->test-when-wrong-kind
  (implies (not (equal (jstatem-kind x) :while))
           (equal (jstatem-while->test x)
                  (jexpr-fix nil))))