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Svtv

Svtv->form

Get the form field from a svtv.

Signature
(svtv->form x) → fty::x.name
Arguments: x — Guard (svtv-p x).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svtv->form$inline

(defun svtv->form$inline (x)
  (declare (xargs :guard (svtv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svtv->form))
    (declare (ignorable __function__))
    (mbe :logic (b* ((x (and t x))) (std::da-nth 15 x))
         :exec (std::da-nth 15 x))))

Theorem: svtv->form$inline-of-svtv-fix-x

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

Theorem: svtv->form$inline-svtv-equiv-congruence-on-x

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