		Search-engine friendly clone of the ACL2 documentation.

Stmt-while

Stmt-while->body

Get the body field from a stmt-while.

Signature
(stmt-while->body x) → body
Arguments: x — Guard (stmtp x).
Returns: body — Type (stmtp body).

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

Definitions and Theorems

Function: stmt-while->body$inline

(defun stmt-while->body$inline (x)
  (declare (xargs :guard (stmtp x)))
  (declare (xargs :guard (equal (stmt-kind x) :while)))
  (let ((__function__ 'stmt-while->body))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (stmt-kind x) :while) x)))
           (stmt-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: stmtp-of-stmt-while->body

(defthm stmtp-of-stmt-while->body
  (b* ((body (stmt-while->body$inline x)))
    (stmtp body))
  :rule-classes :rewrite)

Theorem: stmt-while->body$inline-of-stmt-fix-x

(defthm stmt-while->body$inline-of-stmt-fix-x
  (equal (stmt-while->body$inline (stmt-fix x))
         (stmt-while->body$inline x)))

Theorem: stmt-while->body$inline-stmt-equiv-congruence-on-x

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

Theorem: stmt-while->body-when-wrong-kind

(defthm stmt-while->body-when-wrong-kind
  (implies (not (equal (stmt-kind x) :while))
           (equal (stmt-while->body x)
                  (stmt-fix nil))))