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Vl-range

Vl-range->lsb

Get the lsb field from a vl-range.

Signature
(vl-range->lsb x) → lsb
Arguments: x — Guard (vl-range-p x).
Returns: lsb — Type (vl-expr-p lsb).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-range->lsb$inline

(defun vl-range->lsb$inline (x)
  (declare (xargs :guard (vl-range-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-range->lsb))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (vl-expr-fix (std::prod-cdr (cdr x))))
         :exec (std::prod-cdr (cdr x)))))

Theorem: vl-expr-p-of-vl-range->lsb

(defthm vl-expr-p-of-vl-range->lsb
  (b* ((lsb (vl-range->lsb$inline x)))
    (vl-expr-p lsb))
  :rule-classes :rewrite)

Theorem: vl-range->lsb$inline-of-vl-range-fix-x

(defthm vl-range->lsb$inline-of-vl-range-fix-x
  (equal (vl-range->lsb$inline (vl-range-fix x))
         (vl-range->lsb$inline x)))

Theorem: vl-range->lsb$inline-vl-range-equiv-congruence-on-x

(defthm vl-range->lsb$inline-vl-range-equiv-congruence-on-x
  (implies (vl-range-equiv x x-equiv)
           (equal (vl-range->lsb$inline x)
                  (vl-range->lsb$inline x-equiv)))
  :rule-classes :congruence)