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• Fgl-syntactic-checker-binders

Check-natp

FGL binder that checks whether X is syntactically a natural number.

Signature

(check-natp ans x) → *

See fgl-syntactic-checker-binders and see binder for details.

Definitions and Theorems

Function: check-natp

(defun check-natp (ans x)
  (declare (xargs :guard t))
  (let ((__function__ 'check-natp))
    (declare (ignorable __function__))
    (and (natp x) ans t)))

Theorem: check-natp-implies-natp

(defthm check-natp-implies-natp
  (implies (check-natp ans x) (natp x))
  :rule-classes :forward-chaining)