		Search-engine friendly clone of the ACL2 documentation.

Constrel

Constrel->args

Get the args field from a constrel.

Signature
(constrel->args x) → args
Arguments: x — Guard (constrelp x).
Returns: args — Type (expression-listp args).

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

Definitions and Theorems

Function: constrel->args$inline

(defun constrel->args$inline (x)
  (declare (xargs :guard (constrelp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'constrel->args))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (expression-list-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: expression-listp-of-constrel->args

(defthm expression-listp-of-constrel->args
  (b* ((args (constrel->args$inline x)))
    (expression-listp args))
  :rule-classes :rewrite)

Theorem: constrel->args$inline-of-constrel-fix-x

(defthm constrel->args$inline-of-constrel-fix-x
  (equal (constrel->args$inline (constrel-fix x))
         (constrel->args$inline x)))

Theorem: constrel->args$inline-constrel-equiv-congruence-on-x

(defthm constrel->args$inline-constrel-equiv-congruence-on-x
  (implies (constrel-equiv x x-equiv)
           (equal (constrel->args$inline x)
                  (constrel->args$inline x-equiv)))
  :rule-classes :congruence)