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Char-format

Char-format->signedp

Get the signedp field from a char-format.

Signature
(char-format->signedp x) → signedp
Arguments: x — Guard (char-formatp x).
Returns: signedp — Type (booleanp signedp).

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

Definitions and Theorems

Function: char-format->signedp$inline

(defun char-format->signedp$inline (x)
  (declare (xargs :guard (char-formatp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (acl2::bool-fix (cdr (std::da-nth 0 x))))
       :exec (cdr (std::da-nth 0 x))))

Theorem: booleanp-of-char-format->signedp

(defthm booleanp-of-char-format->signedp
  (b* ((signedp (char-format->signedp$inline x)))
    (booleanp signedp))
  :rule-classes :rewrite)

Theorem: char-format->signedp$inline-of-char-format-fix-x

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

Theorem: char-format->signedp$inline-char-format-equiv-congruence-on-x

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