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• Pigeon-hole

Bird-in-hole

Signature

(bird-in-hole bird hole) → lit

Arguments

bird — Guard (natp bird).

hole — Guard (natp hole).

Returns

lit — This bird is in this hole.
    Type (litp lit).

Definitions and Theorems

Function: bird-in-hole

(defun bird-in-hole (bird hole)
  (declare (xargs :guard (and (natp bird) (natp hole))))
  (let ((__function__ 'bird-in-hole))
    (declare (ignorable __function__))
    (b* ((var (lnfix (acl2::hl-nat-combine bird hole))))
      (make-lit var 0))))

Theorem: litp-of-bird-in-hole

(defthm litp-of-bird-in-hole
  (b* ((lit (bird-in-hole bird hole)))
    (litp lit))
  :rule-classes :rewrite)