		Search-engine friendly clone of the ACL2 documentation.

Name+value

Name+value->name

Get the name field from a name+value.

Signature
(name+value->name x) → name
Arguments: x — Guard (name+value-p x).
Returns: name — Type (identifierp name).

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

Definitions and Theorems

Function: name+value->name$inline

(defun name+value->name$inline (x)
  (declare (xargs :guard (name+value-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'name+value->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (identifier-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: identifierp-of-name+value->name

(defthm identifierp-of-name+value->name
  (b* ((name (name+value->name$inline x)))
    (identifierp name))
  :rule-classes :rewrite)

Theorem: name+value->name$inline-of-name+value-fix-x

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

Theorem: name+value->name$inline-name+value-equiv-congruence-on-x

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