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C-char-escape

C-char-escape->escape

Get the escape field from a c-char-escape.

Signature
(c-char-escape->escape x) → escape
Arguments: x — Guard (c-char-p x).
Returns: escape — Type (escapep escape).

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

Definitions and Theorems

Function: c-char-escape->escape$inline

(defun c-char-escape->escape$inline (x)
  (declare (xargs :guard (c-char-p x)))
  (declare (xargs :guard (equal (c-char-kind x) :escape)))
  (mbe :logic
       (b* ((x (and (equal (c-char-kind x) :escape)
                    x)))
         (escape-fix (cdr x)))
       :exec (cdr x)))

Theorem: escapep-of-c-char-escape->escape

(defthm escapep-of-c-char-escape->escape
  (b* ((escape (c-char-escape->escape$inline x)))
    (escapep escape))
  :rule-classes :rewrite)

Theorem: c-char-escape->escape$inline-of-c-char-fix-x

(defthm c-char-escape->escape$inline-of-c-char-fix-x
  (equal (c-char-escape->escape$inline (c-char-fix x))
         (c-char-escape->escape$inline x)))

Theorem: c-char-escape->escape$inline-c-char-equiv-congruence-on-x

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

Theorem: c-char-escape->escape-when-wrong-kind

(defthm c-char-escape->escape-when-wrong-kind
  (implies (not (equal (c-char-kind x) :escape))
           (equal (c-char-escape->escape x)
                  (escape-fix nil))))