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Attrib-name-params

Attrib-name-params->name

Get the name field from a attrib-name-params.

Signature
(attrib-name-params->name x) → name
Arguments: x — Guard (attribp x).
Returns: name — Type (attrib-namep name).

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

Definitions and Theorems

Function: attrib-name-params->name$inline

(defun attrib-name-params->name$inline (x)
  (declare (xargs :guard (attribp x)))
  (declare (xargs :guard (equal (attrib-kind x) :name-params)))
  (mbe :logic
       (b* ((x (and (equal (attrib-kind x) :name-params)
                    x)))
         (attrib-name-fix (car (cdr x))))
       :exec (car (cdr x))))

Theorem: attrib-namep-of-attrib-name-params->name

(defthm attrib-namep-of-attrib-name-params->name
  (b* ((name (attrib-name-params->name$inline x)))
    (attrib-namep name))
  :rule-classes :rewrite)

Theorem: attrib-name-params->name$inline-of-attrib-fix-x

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

Theorem: attrib-name-params->name$inline-attrib-equiv-congruence-on-x

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

Theorem: attrib-name-params->name-when-wrong-kind

(defthm attrib-name-params->name-when-wrong-kind
  (implies (not (equal (attrib-kind x) :name-params))
           (equal (attrib-name-params->name x)
                  (attrib-name-fix nil))))