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• Pigeon-hole

Not-both-in-hole

Signature

(not-both-in-hole bird1 bird2 hole) → clause

Arguments

bird1 — Guard (natp bird1).

bird2 — Guard (natp bird2).

hole — Guard (natp hole).

Returns

clause — These two birds do not share this hole.
    Type (lit-listp clause).

Definitions and Theorems

Function: not-both-in-hole

(defun not-both-in-hole (bird1 bird2 hole)
  (declare (xargs :guard (and (natp bird1)
                              (natp bird2)
                              (natp hole))))
  (let ((__function__ 'not-both-in-hole))
    (declare (ignorable __function__))
    (list (lit-negate (bird-in-hole bird1 hole))
          (lit-negate (bird-in-hole bird2 hole)))))

Theorem: lit-listp-of-not-both-in-hole

(defthm lit-listp-of-not-both-in-hole
  (b* ((clause (not-both-in-hole bird1 bird2 hole)))
    (lit-listp clause))
  :rule-classes :rewrite)