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Sinteger-format

Sinteger-format->bits

Get the bits field from a sinteger-format.

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

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

Definitions and Theorems

Function: sinteger-format->bits$inline

(defun sinteger-format->bits$inline (x)
 (declare (xargs :guard (sinteger-formatp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'sinteger-format->bits))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b* ((x (and t x))
         (bits (sinteger-bit-role-list-fix (cdr (std::da-nth 0 x))))
         (signed (signed-format-fix (cdr (std::da-nth 1 x))))
         (traps (cdr (std::da-nth 2 x))))
      (if (sinteger-bit-roles-wfp bits)
          bits
        (list (sinteger-bit-role-sign)
              (sinteger-bit-role-value 0))))
    :exec (cdr (std::da-nth 0 x)))))

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

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

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

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

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

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