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Vl-arithclass-p

Vl-exprsign->arithclass

Signature
(vl-exprsign->arithclass x) → class
Arguments: x — Guard (vl-exprsign-p x).
Returns: class — Type (vl-arithclass-p class).

Definitions and Theorems

Function: vl-exprsign->arithclass$inline

(defun vl-exprsign->arithclass$inline (x)
  (declare (xargs :guard (vl-exprsign-p x)))
  (let ((__function__ 'vl-exprsign->arithclass))
    (declare (ignorable __function__))
    (if (vl-exprsign-equiv x :vl-signed)
        :vl-signed-int-class
      :vl-unsigned-int-class)))

Theorem: vl-arithclass-p-of-vl-exprsign->arithclass

(defthm vl-arithclass-p-of-vl-exprsign->arithclass
  (b* ((class (vl-exprsign->arithclass$inline x)))
    (vl-arithclass-p class))
  :rule-classes :rewrite)

Theorem: vl-exprsign->arithclass$inline-of-vl-exprsign-fix-x

(defthm vl-exprsign->arithclass$inline-of-vl-exprsign-fix-x
  (equal (vl-exprsign->arithclass$inline (vl-exprsign-fix x))
         (vl-exprsign->arithclass$inline x)))

Theorem: vl-exprsign->arithclass$inline-vl-exprsign-equiv-congruence-on-x

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