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Escape-oct

Escape-oct->escape

Get the escape field from a escape-oct.

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

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

Definitions and Theorems

Function: escape-oct->escape$inline

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

Theorem: oct-escapep-of-escape-oct->escape

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

Theorem: escape-oct->escape$inline-of-escape-fix-x

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

Theorem: escape-oct->escape$inline-escape-equiv-congruence-on-x

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

Theorem: escape-oct->escape-when-wrong-kind

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