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• Abstract-hids

Vl-hidexpr->endp

Signature

(vl-hidexpr->endp x) → endp

Arguments

x — Guard (vl-expr-p x).

Returns

endp — Type (booleanp endp).

Definitions and Theorems

Function: vl-hidexpr->endp$inline

(defun vl-hidexpr->endp$inline (x)
  (declare (xargs :guard (vl-expr-p x)))
  (declare (xargs :guard (vl-hidexpr-p x)))
  (let ((__function__ 'vl-hidexpr->endp))
    (declare (ignorable __function__))
    (vl-atom-p x)))

Theorem: booleanp-of-vl-hidexpr->endp

(defthm booleanp-of-vl-hidexpr->endp
  (b* ((endp (vl-hidexpr->endp$inline x)))
    (booleanp endp))
  :rule-classes :type-prescription)

Theorem: vl-hidname-p-when-vl-hidexpr->endp

(defthm vl-hidname-p-when-vl-hidexpr->endp
  (implies (and (vl-hidexpr->endp x)
                (vl-hidexpr-p x))
           (vl-hidname-p x))
  :rule-classes
  ((:rewrite :backchain-limit-lst 1)
   (:forward-chaining :trigger-terms ((vl-hidexpr->endp x)))))

Theorem: vl-hidexpr->endp$inline-of-vl-expr-fix-x

(defthm vl-hidexpr->endp$inline-of-vl-expr-fix-x
  (equal (vl-hidexpr->endp$inline (vl-expr-fix x))
         (vl-hidexpr->endp$inline x)))

Theorem: vl-hidexpr->endp$inline-vl-expr-equiv-congruence-on-x

(defthm vl-hidexpr->endp$inline-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-hidexpr->endp$inline x)
                  (vl-hidexpr->endp$inline x-equiv)))
  :rule-classes :congruence)