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Vl-gatestrength

Vl-gatestrength->one

Get the one field from a vl-gatestrength.

Signature
(vl-gatestrength->one x) → one
Arguments: x — Guard (vl-gatestrength-p x).
Returns: one — Type (vl-dstrength-p one).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-gatestrength->one$inline

(defun vl-gatestrength->one$inline (x)
  (declare (xargs :guard (vl-gatestrength-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-gatestrength->one))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (vl-dstrength-fix (std::prod-cdr (cdr x))))
         :exec (std::prod-cdr (cdr x)))))

Theorem: vl-dstrength-p-of-vl-gatestrength->one

(defthm vl-dstrength-p-of-vl-gatestrength->one
  (b* ((one (vl-gatestrength->one$inline x)))
    (vl-dstrength-p one))
  :rule-classes :rewrite)

Theorem: vl-gatestrength->one$inline-of-vl-gatestrength-fix-x

(defthm vl-gatestrength->one$inline-of-vl-gatestrength-fix-x
  (equal (vl-gatestrength->one$inline (vl-gatestrength-fix x))
         (vl-gatestrength->one$inline x)))

Theorem: vl-gatestrength->one$inline-vl-gatestrength-equiv-congruence-on-x

(defthm
  vl-gatestrength->one$inline-vl-gatestrength-equiv-congruence-on-x
  (implies (vl-gatestrength-equiv x x-equiv)
           (equal (vl-gatestrength->one$inline x)
                  (vl-gatestrength->one$inline x-equiv)))
  :rule-classes :congruence)