		Search-engine friendly clone of the ACL2 documentation.

Jstatem-ifelse

Jstatem-ifelse->then

Get the then field from a jstatem-ifelse.

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

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

Definitions and Theorems

Function: jstatem-ifelse->then$inline

(defun jstatem-ifelse->then$inline (x)
  (declare (xargs :guard (jstatemp x)))
  (declare (xargs :guard (equal (jstatem-kind x) :ifelse)))
  (let ((__function__ 'jstatem-ifelse->then))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (jstatem-kind x) :ifelse)
                      x)))
           (jblock-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

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

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

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

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

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

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

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

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