		Search-engine friendly clone of the ACL2 documentation.

Plexeme-newline

Plexeme-newline->chars

Get the chars field from a plexeme-newline.

Signature
(plexeme-newline->chars x) → chars
Arguments: x — Guard (plexemep x).
Returns: chars — Type (newlinep chars).

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

Definitions and Theorems

Function: plexeme-newline->chars$inline

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

Theorem: newlinep-of-plexeme-newline->chars

(defthm newlinep-of-plexeme-newline->chars
  (b* ((chars (plexeme-newline->chars$inline x)))
    (newlinep chars))
  :rule-classes :rewrite)

Theorem: plexeme-newline->chars$inline-of-plexeme-fix-x

(defthm plexeme-newline->chars$inline-of-plexeme-fix-x
  (equal (plexeme-newline->chars$inline (plexeme-fix x))
         (plexeme-newline->chars$inline x)))

Theorem: plexeme-newline->chars$inline-plexeme-equiv-congruence-on-x

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

Theorem: plexeme-newline->chars-when-wrong-kind

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