		Search-engine friendly clone of the ACL2 documentation.

Dexpo

Dexpo->sign?

Get the sign? field from a dexpo.

Signature
(dexpo->sign? x) → sign?
Arguments: x — Guard (dexpop x).
Returns: sign? — Type (sign-optionp sign?).

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

Definitions and Theorems

Function: dexpo->sign?$inline

(defun dexpo->sign?$inline (x)
  (declare (xargs :guard (dexpop x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (sign-option-fix (car (cdr x))))
       :exec (car (cdr x))))

Theorem: sign-optionp-of-dexpo->sign?

(defthm sign-optionp-of-dexpo->sign?
  (b* ((sign? (dexpo->sign?$inline x)))
    (sign-optionp sign?))
  :rule-classes :rewrite)

Theorem: dexpo->sign?$inline-of-dexpo-fix-x

(defthm dexpo->sign?$inline-of-dexpo-fix-x
  (equal (dexpo->sign?$inline (dexpo-fix x))
         (dexpo->sign?$inline x)))

Theorem: dexpo->sign?$inline-dexpo-equiv-congruence-on-x

(defthm dexpo->sign?$inline-dexpo-equiv-congruence-on-x
  (implies (dexpo-equiv x x-equiv)
           (equal (dexpo->sign?$inline x)
                  (dexpo->sign?$inline x-equiv)))
  :rule-classes :congruence)