		Search-engine friendly clone of the ACL2 documentation.

Lstmt-gout

Lstmt-gout->stmt

Get the stmt field from a lstmt-gout.

Signature
(lstmt-gout->stmt x) → stmt
Arguments: x — Guard (lstmt-goutp x).
Returns: stmt — Type (stmtp stmt).

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

Definitions and Theorems

Function: lstmt-gout->stmt$inline

(defun lstmt-gout->stmt$inline (x)
  (declare (xargs :guard (lstmt-goutp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'lstmt-gout->stmt))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (stmt-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: stmtp-of-lstmt-gout->stmt

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

Theorem: lstmt-gout->stmt$inline-of-lstmt-gout-fix-x

(defthm lstmt-gout->stmt$inline-of-lstmt-gout-fix-x
  (equal (lstmt-gout->stmt$inline (lstmt-gout-fix x))
         (lstmt-gout->stmt$inline x)))

Theorem: lstmt-gout->stmt$inline-lstmt-gout-equiv-congruence-on-x

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