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Vl-hidstep

Vl-hidstep->item

Get the item field from a vl-hidstep.

Signature
(vl-hidstep->item x) → item
Arguments: x — Guard (vl-hidstep-p x).
Returns: item — Type (vl-scopeitem-p item).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-hidstep->item$inline

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

Theorem: vl-scopeitem-p-of-vl-hidstep->item

(defthm vl-scopeitem-p-of-vl-hidstep->item
  (b* ((item (vl-hidstep->item$inline x)))
    (vl-scopeitem-p item))
  :rule-classes :rewrite)

Theorem: vl-hidstep->item$inline-of-vl-hidstep-fix-x

(defthm vl-hidstep->item$inline-of-vl-hidstep-fix-x
  (equal (vl-hidstep->item$inline (vl-hidstep-fix x))
         (vl-hidstep->item$inline x)))

Theorem: vl-hidstep->item$inline-vl-hidstep-equiv-congruence-on-x

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