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Vl-gatestrength

Vl-gatestrength->zero

Get the zero field from a vl-gatestrength.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-gatestrength->zero$inline

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

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

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

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

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

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

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