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Uinteger-format

Uinteger-format->bits

Get the bits field from a uinteger-format.

Signature
(uinteger-format->bits x) → bits
Arguments: x — Guard (uinteger-formatp x).
Returns: bits — Type (uinteger-bit-role-listp bits).

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

Definitions and Theorems

Function: uinteger-format->bits$inline

(defun uinteger-format->bits$inline (x)
 (declare (xargs :guard (uinteger-formatp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'uinteger-format->bits))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b* ((x (and t x))
         (bits (uinteger-bit-role-list-fix (cdr (std::da-nth 0 x))))
         (traps (cdr (std::da-nth 1 x))))
      (if (uinteger-bit-roles-wfp bits)
          bits
        (list (uinteger-bit-role-value 0))))
    :exec (cdr (std::da-nth 0 x)))))

Theorem: uinteger-bit-role-listp-of-uinteger-format->bits

(defthm uinteger-bit-role-listp-of-uinteger-format->bits
  (b* ((bits (uinteger-format->bits$inline x)))
    (uinteger-bit-role-listp bits))
  :rule-classes :rewrite)

Theorem: uinteger-format->bits$inline-of-uinteger-format-fix-x

(defthm uinteger-format->bits$inline-of-uinteger-format-fix-x
  (equal (uinteger-format->bits$inline (uinteger-format-fix x))
         (uinteger-format->bits$inline x)))

Theorem: uinteger-format->bits$inline-uinteger-format-equiv-congruence-on-x

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