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• Fgl-syntactic-checker-binders

Check-non-consp

FGL binder that checks whether X is syntactically a non-cons.

Signature

(check-non-consp ans x) → *

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

Definitions and Theorems

Function: check-non-consp

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

Theorem: check-non-consp-implies-not-consp

(defthm check-non-consp-implies-not-consp
  (implies (check-non-consp ans x)
           (not (consp x)))
  :rule-classes :forward-chaining)