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Plexeme-string

Plexeme-string->literal

Get the literal field from a plexeme-string.

Signature
(plexeme-string->literal x) → literal
Arguments: x — Guard (plexemep x).
Returns: literal — Type (stringlitp literal).

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

Definitions and Theorems

Function: plexeme-string->literal$inline

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

Theorem: stringlitp-of-plexeme-string->literal

(defthm stringlitp-of-plexeme-string->literal
  (b* ((literal (plexeme-string->literal$inline x)))
    (stringlitp literal))
  :rule-classes :rewrite)

Theorem: plexeme-string->literal$inline-of-plexeme-fix-x

(defthm plexeme-string->literal$inline-of-plexeme-fix-x
  (equal (plexeme-string->literal$inline (plexeme-fix x))
         (plexeme-string->literal$inline x)))

Theorem: plexeme-string->literal$inline-plexeme-equiv-congruence-on-x

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

Theorem: plexeme-string->literal-when-wrong-kind

(defthm plexeme-string->literal-when-wrong-kind
  (implies (not (equal (plexeme-kind x) :string))
           (equal (plexeme-string->literal x)
                  (stringlit-fix nil))))