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• Vl-arithclass-p

Vl-integer-arithclass-p

Signature

(vl-integer-arithclass-p x) → *

Arguments

x — Guard (vl-arithclass-p x).

Definitions and Theorems

Function: vl-integer-arithclass-p$inline

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

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

(defthm vl-integer-arithclass-p-of-vl-exprsign->arithclass
  (vl-integer-arithclass-p (vl-exprsign->arithclass x)))

Function: vl-integer-arithclass->exprsign$inline

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

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

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

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

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

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

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

Theorem: symbolp-of-vl-datatype-arithclass

(defthm symbolp-of-vl-datatype-arithclass
  (let ((ret (mv-nth 1 (vl-datatype-arithclass x))))
    (and (symbolp ret)
         (not (equal ret t))
         (not (equal ret nil))))
  :rule-classes :type-prescription)

Theorem: vl-integer-arithclass-p-of-vl-arithclass-max

(defthm vl-integer-arithclass-p-of-vl-arithclass-max
  (implies (and (vl-integer-arithclass-p x)
                (vl-integer-arithclass-p y))
           (vl-integer-arithclass-p (vl-arithclass-max x y))))

Theorem: vl-integer-arithclass-p$inline-of-vl-arithclass-fix-x

(defthm vl-integer-arithclass-p$inline-of-vl-arithclass-fix-x
  (equal (vl-integer-arithclass-p$inline (vl-arithclass-fix x))
         (vl-integer-arithclass-p$inline x)))

Theorem: vl-integer-arithclass-p$inline-vl-arithclass-equiv-congruence-on-x

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