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Q-char

Q-char->char

Get the char field from a q-char.

Signature
(q-char->char x) → char
Arguments: x — Guard (q-char-p x).
Returns: char — Type (natp char).

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

Definitions and Theorems

Function: q-char->char$inline

(defun q-char->char$inline (x)
  (declare (xargs :guard (q-char-p x)))
  (declare (xargs :guard t))
  (mbe :logic (b* ((x (and t x))) (nfix x))
       :exec x))

Theorem: natp-of-q-char->char

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

Theorem: q-char->char$inline-of-q-char-fix-x

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

Theorem: q-char->char$inline-q-char-equiv-congruence-on-x

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