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Plexeme-header

Plexeme-header->name

Get the name field from a plexeme-header.

Signature
(plexeme-header->name x) → name
Arguments: x — Guard (plexemep x).
Returns: name — Type (header-namep name).

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

Definitions and Theorems

Function: plexeme-header->name$inline

(defun plexeme-header->name$inline (x)
  (declare (xargs :guard (plexemep x)))
  (declare (xargs :guard (equal (plexeme-kind x) :header)))
  (mbe :logic
       (b* ((x (and (equal (plexeme-kind x) :header)
                    x)))
         (header-name-fix (std::da-nth 0 (cdr x))))
       :exec (std::da-nth 0 (cdr x))))

Theorem: header-namep-of-plexeme-header->name

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

Theorem: plexeme-header->name$inline-of-plexeme-fix-x

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

Theorem: plexeme-header->name$inline-plexeme-equiv-congruence-on-x

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

Theorem: plexeme-header->name-when-wrong-kind

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