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Escape-univ

Escape-univ->escape

Get the escape field from a escape-univ.

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

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

Definitions and Theorems

Function: escape-univ->escape$inline

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

Theorem: univ-char-name-p-of-escape-univ->escape

(defthm univ-char-name-p-of-escape-univ->escape
  (b* ((escape (escape-univ->escape$inline x)))
    (univ-char-name-p escape))
  :rule-classes :rewrite)

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

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

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

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

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

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