		Search-engine friendly clone of the ACL2 documentation.

Value-tuple

Value-tuple->components

Get the components field from a value-tuple.

Signature
(value-tuple->components x) → components
Arguments: x — Guard (valuep x).
Returns: components — Type (value-listp components).

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

Definitions and Theorems

Function: value-tuple->components$inline

(defun value-tuple->components$inline (x)
  (declare (xargs :guard (valuep x)))
  (declare (xargs :guard (equal (value-kind x) :tuple)))
  (let ((__function__ 'value-tuple->components))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (value-kind x) :tuple) x)))
           (value-list-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: value-listp-of-value-tuple->components

(defthm value-listp-of-value-tuple->components
  (b* ((components (value-tuple->components$inline x)))
    (value-listp components))
  :rule-classes :rewrite)

Theorem: value-tuple->components$inline-of-value-fix-x

(defthm value-tuple->components$inline-of-value-fix-x
  (equal (value-tuple->components$inline (value-fix x))
         (value-tuple->components$inline x)))

Theorem: value-tuple->components$inline-value-equiv-congruence-on-x

(defthm value-tuple->components$inline-value-equiv-congruence-on-x
  (implies (value-equiv x x-equiv)
           (equal (value-tuple->components$inline x)
                  (value-tuple->components$inline x-equiv)))
  :rule-classes :congruence)

Theorem: value-tuple->components-when-wrong-kind

(defthm value-tuple->components-when-wrong-kind
  (implies (not (equal (value-kind x) :tuple))
           (equal (value-tuple->components x)
                  (value-list-fix nil))))