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Jstatem-ifelse

Jstatem-ifelse->else

Get the else field from a jstatem-ifelse.

Signature
(jstatem-ifelse->else x) → else
Arguments: x — Guard (jstatemp x).
Returns: else — Type (jblockp else).

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

Definitions and Theorems

Function: jstatem-ifelse->else$inline

(defun jstatem-ifelse->else$inline (x)
  (declare (xargs :guard (jstatemp x)))
  (declare (xargs :guard (equal (jstatem-kind x) :ifelse)))
  (let ((__function__ 'jstatem-ifelse->else))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (jstatem-kind x) :ifelse)
                      x)))
           (jblock-fix (std::da-nth 2 (cdr x))))
         :exec (std::da-nth 2 (cdr x)))))

Theorem: jblockp-of-jstatem-ifelse->else

(defthm jblockp-of-jstatem-ifelse->else
  (b* ((else (jstatem-ifelse->else$inline x)))
    (jblockp else))
  :rule-classes :rewrite)

Theorem: jstatem-ifelse->else$inline-of-jstatem-fix-x

(defthm jstatem-ifelse->else$inline-of-jstatem-fix-x
  (equal (jstatem-ifelse->else$inline (jstatem-fix x))
         (jstatem-ifelse->else$inline x)))

Theorem: jstatem-ifelse->else$inline-jstatem-equiv-congruence-on-x

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

Theorem: jstatem-ifelse->else-when-wrong-kind

(defthm jstatem-ifelse->else-when-wrong-kind
  (implies (not (equal (jstatem-kind x) :ifelse))
           (equal (jstatem-ifelse->else x)
                  (jblock-fix nil))))