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Decdig/uscore-digit

Decdig/uscore-digit->get

Get the get field from a decdig/uscore-digit.

Signature
(decdig/uscore-digit->get x) → get
Arguments: x — Guard (decdig/uscore-p x).
Returns: get — Type (dec-digitp get).

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

Definitions and Theorems

Function: decdig/uscore-digit->get$inline

(defun decdig/uscore-digit->get$inline (x)
  (declare (xargs :guard (decdig/uscore-p x)))
  (declare (xargs :guard (equal (decdig/uscore-kind x) :digit)))
  (let ((__function__ 'decdig/uscore-digit->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (decdig/uscore-kind x) :digit)
                      x)))
           (dec-digit-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: dec-digitp-of-decdig/uscore-digit->get

(defthm dec-digitp-of-decdig/uscore-digit->get
  (b* ((get (decdig/uscore-digit->get$inline x)))
    (dec-digitp get))
  :rule-classes :rewrite)

Theorem: decdig/uscore-digit->get$inline-of-decdig/uscore-fix-x

(defthm decdig/uscore-digit->get$inline-of-decdig/uscore-fix-x
  (equal (decdig/uscore-digit->get$inline (decdig/uscore-fix x))
         (decdig/uscore-digit->get$inline x)))

Theorem: decdig/uscore-digit->get$inline-decdig/uscore-equiv-congruence-on-x

(defthm
 decdig/uscore-digit->get$inline-decdig/uscore-equiv-congruence-on-x
 (implies (decdig/uscore-equiv x x-equiv)
          (equal (decdig/uscore-digit->get$inline x)
                 (decdig/uscore-digit->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: decdig/uscore-digit->get-when-wrong-kind

(defthm decdig/uscore-digit->get-when-wrong-kind
  (implies (not (equal (decdig/uscore-kind x) :digit))
           (equal (decdig/uscore-digit->get x)
                  (dec-digit-fix nil))))