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Member

Member->value

Get the value field from a member.

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

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

Definitions and Theorems

Function: member->value$inline

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

Theorem: valuep-of-member->value

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

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

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

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

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