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Vl-atom

Vl-atom->finalwidth

Get the finalwidth field from a vl-atom.

Signature
(vl-atom->finalwidth x) → finalwidth
Arguments: x — Guard (vl-expr-p x).
Returns: finalwidth — Type (maybe-natp finalwidth).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-atom->finalwidth$inline

(defun vl-atom->finalwidth$inline (x)
  (declare (xargs :guard (vl-expr-p x)))
  (declare (xargs :guard (equal (vl-expr-kind x) :atom)))
  (let ((__function__ 'vl-atom->finalwidth))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (vl-expr-kind x) :atom) x)))
           (maybe-natp-fix (std::prod-cdr (std::prod-car (cdr x)))))
         :exec (std::prod-cdr (std::prod-car (cdr x))))))

Theorem: maybe-natp-of-vl-atom->finalwidth

(defthm maybe-natp-of-vl-atom->finalwidth
  (b* ((finalwidth (vl-atom->finalwidth$inline x)))
    (maybe-natp finalwidth))
  :rule-classes :type-prescription)

Theorem: vl-atom->finalwidth$inline-of-vl-expr-fix-x

(defthm vl-atom->finalwidth$inline-of-vl-expr-fix-x
  (equal (vl-atom->finalwidth$inline (vl-expr-fix x))
         (vl-atom->finalwidth$inline x)))

Theorem: vl-atom->finalwidth$inline-vl-expr-equiv-congruence-on-x

(defthm vl-atom->finalwidth$inline-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-atom->finalwidth$inline x)
                  (vl-atom->finalwidth$inline x-equiv)))
  :rule-classes :congruence)

Theorem: vl-atom->finalwidth-when-wrong-kind

(defthm vl-atom->finalwidth-when-wrong-kind
  (implies (not (equal (vl-expr-kind x) :atom))
           (equal (vl-atom->finalwidth x)
                  (maybe-natp-fix nil))))