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Label-name

Label-name->name

Get the name field from a label-name.

Signature
(label-name->name x) → name
Arguments: x — Guard (labelp x).
Returns: name — Type (identp name).

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

Definitions and Theorems

Function: label-name->name$inline

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

Theorem: identp-of-label-name->name

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

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

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

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

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

Theorem: label-name->name-when-wrong-kind

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