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Svtv

Svtv->orig-internals

Get the orig-internals field from a svtv.

Signature
(svtv->orig-internals x) → orig-internals
Arguments: x — Guard (svtv-p x).
Returns: orig-internals — Type (true-list-listp orig-internals).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svtv->orig-internals$inline

(defun svtv->orig-internals$inline (x)
  (declare (xargs :guard (svtv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svtv->orig-internals))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (true-list-list-fix (std::da-nth 10 x)))
         :exec (std::da-nth 10 x))))

Theorem: true-list-listp-of-svtv->orig-internals

(defthm true-list-listp-of-svtv->orig-internals
  (b* ((orig-internals (svtv->orig-internals$inline x)))
    (true-list-listp orig-internals))
  :rule-classes :rewrite)

Theorem: svtv->orig-internals$inline-of-svtv-fix-x

(defthm svtv->orig-internals$inline-of-svtv-fix-x
  (equal (svtv->orig-internals$inline (svtv-fix x))
         (svtv->orig-internals$inline x)))

Theorem: svtv->orig-internals$inline-svtv-equiv-congruence-on-x

(defthm svtv->orig-internals$inline-svtv-equiv-congruence-on-x
  (implies (svtv-equiv x x-equiv)
           (equal (svtv->orig-internals$inline x)
                  (svtv->orig-internals$inline x-equiv)))
  :rule-classes :congruence)