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Ienv

Ienv->plain-char-signedp

Get the plain-char-signedp field from a ienv.

Signature
(ienv->plain-char-signedp x) → plain-char-signedp
Arguments: x — Guard (ienvp x).
Returns: plain-char-signedp — Type (booleanp plain-char-signedp).

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

Definitions and Theorems

Function: ienv->plain-char-signedp$inline

(defun ienv->plain-char-signedp$inline (x)
  (declare (xargs :guard (ienvp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (bool-fix (cdr (std::da-nth 5 x))))
       :exec (cdr (std::da-nth 5 x))))

Theorem: booleanp-of-ienv->plain-char-signedp

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

Theorem: ienv->plain-char-signedp$inline-of-ienv-fix-x

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

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

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