		Search-engine friendly clone of the ACL2 documentation.

Segment-driver

Segment-driver->lsb

Get the lsb field from a segment-driver.

Signature
(segment-driver->lsb x) → lsb
Arguments: x — Guard (segment-driver-p x).
Returns: lsb — Type (natp lsb).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: segment-driver->lsb$inline

(defun segment-driver->lsb$inline (x)
  (declare (xargs :guard (segment-driver-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'segment-driver->lsb))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (std::prod-car (std::prod-car x))))
         :exec (std::prod-car (std::prod-car x)))))

Theorem: natp-of-segment-driver->lsb

(defthm natp-of-segment-driver->lsb
  (b* ((lsb (segment-driver->lsb$inline x)))
    (natp lsb))
  :rule-classes :type-prescription)

Theorem: segment-driver->lsb$inline-of-segment-driver-fix-x

(defthm segment-driver->lsb$inline-of-segment-driver-fix-x
  (equal (segment-driver->lsb$inline (segment-driver-fix x))
         (segment-driver->lsb$inline x)))

Theorem: segment-driver->lsb$inline-segment-driver-equiv-congruence-on-x

(defthm
    segment-driver->lsb$inline-segment-driver-equiv-congruence-on-x
  (implies (segment-driver-equiv x x-equiv)
           (equal (segment-driver->lsb$inline x)
                  (segment-driver->lsb$inline x-equiv)))
  :rule-classes :congruence)