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Svtv

Svtv->nphases

Get the nphases field from a svtv.

Signature
(svtv->nphases x) → nphases
Arguments: x — Guard (svtv-p x).
Returns: nphases — Type (natp nphases).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svtv->nphases$inline

(defun svtv->nphases$inline (x)
  (declare (xargs :guard (svtv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svtv->nphases))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (std::da-nth 13 x)))
         :exec (std::da-nth 13 x))))

Theorem: natp-of-svtv->nphases

(defthm natp-of-svtv->nphases
  (b* ((nphases (svtv->nphases$inline x)))
    (natp nphases))
  :rule-classes :rewrite)

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

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

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

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