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Driver

Driver->strength

Get the strength field from a driver.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: driver->strength$inline

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

Theorem: natp-of-driver->strength

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

Theorem: driver->strength$inline-of-driver-fix-x

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

Theorem: driver->strength$inline-driver-equiv-congruence-on-x

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