		Search-engine friendly clone of the ACL2 documentation.

Jexpr-unary

Jexpr-unary->arg

Get the arg field from a jexpr-unary.

Signature
(jexpr-unary->arg x) → arg
Arguments: x — Guard (jexprp x).
Returns: arg — Type (jexprp arg).

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

Definitions and Theorems

Function: jexpr-unary->arg$inline

(defun jexpr-unary->arg$inline (x)
  (declare (xargs :guard (jexprp x)))
  (declare (xargs :guard (equal (jexpr-kind x) :unary)))
  (let ((__function__ 'jexpr-unary->arg))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (jexpr-kind x) :unary) x)))
           (jexpr-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: jexprp-of-jexpr-unary->arg

(defthm jexprp-of-jexpr-unary->arg
  (b* ((arg (jexpr-unary->arg$inline x)))
    (jexprp arg))
  :rule-classes :rewrite)

Theorem: jexpr-unary->arg$inline-of-jexpr-fix-x

(defthm jexpr-unary->arg$inline-of-jexpr-fix-x
  (equal (jexpr-unary->arg$inline (jexpr-fix x))
         (jexpr-unary->arg$inline x)))

Theorem: jexpr-unary->arg$inline-jexpr-equiv-congruence-on-x

(defthm jexpr-unary->arg$inline-jexpr-equiv-congruence-on-x
  (implies (jexpr-equiv x x-equiv)
           (equal (jexpr-unary->arg$inline x)
                  (jexpr-unary->arg$inline x-equiv)))
  :rule-classes :congruence)

Theorem: jexpr-unary->arg-when-wrong-kind

(defthm jexpr-unary->arg-when-wrong-kind
  (implies (not (equal (jexpr-kind x) :unary))
           (equal (jexpr-unary->arg x)
                  (jexpr-fix nil))))