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Namevalue+denv

Namevalue+denv->namevalue

Get the namevalue field from a namevalue+denv.

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

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

Definitions and Theorems

Function: namevalue+denv->namevalue$inline

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

Theorem: name+value-p-of-namevalue+denv->namevalue

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

Theorem: namevalue+denv->namevalue$inline-of-namevalue+denv-fix-x

(defthm namevalue+denv->namevalue$inline-of-namevalue+denv-fix-x
  (equal (namevalue+denv->namevalue$inline (namevalue+denv-fix x))
         (namevalue+denv->namevalue$inline x)))

Theorem: namevalue+denv->namevalue$inline-namevalue+denv-equiv-congruence-on-x

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