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Plexeme-char

Plexeme-char->const

Get the const field from a plexeme-char.

Signature
(plexeme-char->const x) → const
Arguments: x — Guard (plexemep x).
Returns: const — Type (cconstp const).

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

Definitions and Theorems

Function: plexeme-char->const$inline

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

Theorem: cconstp-of-plexeme-char->const

(defthm cconstp-of-plexeme-char->const
  (b* ((const (plexeme-char->const$inline x)))
    (cconstp const))
  :rule-classes :rewrite)

Theorem: plexeme-char->const$inline-of-plexeme-fix-x

(defthm plexeme-char->const$inline-of-plexeme-fix-x
  (equal (plexeme-char->const$inline (plexeme-fix x))
         (plexeme-char->const$inline x)))

Theorem: plexeme-char->const$inline-plexeme-equiv-congruence-on-x

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

Theorem: plexeme-char->const-when-wrong-kind

(defthm plexeme-char->const-when-wrong-kind
  (implies (not (equal (plexeme-kind x) :char))
           (equal (plexeme-char->const x)
                  (cconst-fix nil))))