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Plexeme-other

Plexeme-other->char

Get the char field from a plexeme-other.

Signature
(plexeme-other->char x) → char
Arguments: x — Guard (plexemep x).
Returns: char — Type (natp char).

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

Definitions and Theorems

Function: plexeme-other->char$inline

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

Theorem: natp-of-plexeme-other->char

(defthm natp-of-plexeme-other->char
  (b* ((char (plexeme-other->char$inline x)))
    (natp char))
  :rule-classes :rewrite)

Theorem: plexeme-other->char$inline-of-plexeme-fix-x

(defthm plexeme-other->char$inline-of-plexeme-fix-x
  (equal (plexeme-other->char$inline (plexeme-fix x))
         (plexeme-other->char$inline x)))

Theorem: plexeme-other->char$inline-plexeme-equiv-congruence-on-x

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

Theorem: plexeme-other->char-when-wrong-kind

(defthm plexeme-other->char-when-wrong-kind
  (implies (not (equal (plexeme-kind x) :other))
           (equal (plexeme-other->char x)
                  (nfix nil))))