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Vl-bindelim-institem

Vl-bindelim-institem->inst

Get the inst field from a vl-bindelim-institem.

Signature
(vl-bindelim-institem->inst x) → inst
Arguments: x — Guard (vl-bindelim-institem-p x).
Returns: inst — Type (vl-modinst-p inst).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-bindelim-institem->inst$inline

(defun vl-bindelim-institem->inst$inline (x)
  (declare (xargs :guard (vl-bindelim-institem-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-bindelim-institem->inst))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (vl-modinst-fix (std::prod-car (std::prod-car x))))
         :exec (std::prod-car (std::prod-car x)))))

Theorem: vl-modinst-p-of-vl-bindelim-institem->inst

(defthm vl-modinst-p-of-vl-bindelim-institem->inst
  (b* ((inst (vl-bindelim-institem->inst$inline x)))
    (vl-modinst-p inst))
  :rule-classes :rewrite)

Theorem: vl-bindelim-institem->inst$inline-of-vl-bindelim-institem-fix-x

(defthm
    vl-bindelim-institem->inst$inline-of-vl-bindelim-institem-fix-x
 (equal
    (vl-bindelim-institem->inst$inline (vl-bindelim-institem-fix x))
    (vl-bindelim-institem->inst$inline x)))

Theorem: vl-bindelim-institem->inst$inline-vl-bindelim-institem-equiv-congruence-on-x

(defthm
 vl-bindelim-institem->inst$inline-vl-bindelim-institem-equiv-congruence-on-x
 (implies (vl-bindelim-institem-equiv x x-equiv)
          (equal (vl-bindelim-institem->inst$inline x)
                 (vl-bindelim-institem->inst$inline x-equiv)))
 :rule-classes :congruence)