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Let-binding

Let-binding-p

Recognizer for let-binding structures.

Signature
(let-binding-p x) → *

Definitions and Theorems

Function: let-binding-p

(defun let-binding-p (x)
 (declare (xargs :guard t))
 (let ((acl2::__function__ 'let-binding-p))
   (declare (ignorable acl2::__function__))
   (and (mbe :logic (and (alistp x)
                         (equal (strip-cars x)
                                '(bindings hypotheses)))
             :exec (fty::alist-with-carsp x '(bindings hypotheses)))
        (b* ((bindings (cdr (std::da-nth 0 x)))
             (hypotheses (cdr (std::da-nth 1 x))))
          (and (binding-listp bindings)
               (hint-pair-listp hypotheses))))))

Theorem: consp-when-let-binding-p

(defthm consp-when-let-binding-p
  (implies (let-binding-p x) (consp x))
  :rule-classes :compound-recognizer)