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Member-value

Member-value->value

Get the value field from a member-value.

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

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

Definitions and Theorems

Function: member-value->value$inline

(defun member-value->value$inline (x)
  (declare (xargs :guard (member-valuep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'member-value->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (value-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: valuep-of-member-value->value

(defthm valuep-of-member-value->value
  (b* ((value (member-value->value$inline x)))
    (valuep value))
  :rule-classes :rewrite)

Theorem: member-value->value$inline-of-member-value-fix-x

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

Theorem: member-value->value$inline-member-value-equiv-congruence-on-x

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