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Basic-bind-elim

Vl-design-bindelim

Signature
(vl-design-bindelim x) → new-x
Arguments: x — Guard (vl-design-p x).
Returns: new-x — Type (vl-design-p new-x).

Definitions and Theorems

Function: vl-design-bindelim

(defun vl-design-bindelim (x)
  (declare (xargs :guard (vl-design-p x)))
  (let ((__function__ 'vl-design-bindelim))
    (declare (ignorable __function__))
    (b* (((mv x delta)
          (vl-design-bindelim-pass1 x))
         (x (vl-design-bindelim-pass2 x delta)))
      (fast-alist-free delta)
      x)))

Theorem: vl-design-p-of-vl-design-bindelim

(defthm vl-design-p-of-vl-design-bindelim
  (b* ((new-x (vl-design-bindelim x)))
    (vl-design-p new-x))
  :rule-classes :rewrite)

Theorem: vl-design-bindelim-of-vl-design-fix-x

(defthm vl-design-bindelim-of-vl-design-fix-x
  (equal (vl-design-bindelim (vl-design-fix x))
         (vl-design-bindelim x)))

Theorem: vl-design-bindelim-vl-design-equiv-congruence-on-x

(defthm vl-design-bindelim-vl-design-equiv-congruence-on-x
  (implies (vl-design-equiv x x-equiv)
           (equal (vl-design-bindelim x)
                  (vl-design-bindelim x-equiv)))
  :rule-classes :congruence)