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• Obags

In

Check if a values occurs in an obag.

Signature

(in x bag) → yes/no

Arguments

bag — Guard (bagp bag).

Returns

yes/no — Type (booleanp yes/no).

This is similar to set::in on osets.

Definitions and Theorems

Function: in

(defun in (x bag)
  (declare (xargs :guard (bagp bag)))
  (let ((__function__ 'in))
    (declare (ignorable __function__))
    (and (not (emptyp bag))
         (or (equal x (head bag))
             (in x (tail bag))))))

Theorem: booleanp-of-in

(defthm booleanp-of-in
  (b* ((yes/no (in x bag)))
    (booleanp yes/no))
  :rule-classes :rewrite)