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Member

Member->name

Get the name field from a member.

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

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

Definitions and Theorems

Function: member->name$inline

(defun member->name$inline (x)
  (declare (xargs :guard (memberp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'member->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::str-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: stringp-of-member->name

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

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

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

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

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