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Int+denv

Int+denv-p

Recognizer for int+denv structures.

Signature
(int+denv-p x) → *

Definitions and Theorems

Function: int+denv-p

(defun int+denv-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'int+denv-p))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :int+denv)
         (mbe :logic (and (alistp (cdr x))
                          (equal (strip-cars (cdr x))
                                 '(int denv)))
              :exec (fty::alist-with-carsp (cdr x)
                                           '(int denv)))
         (b* ((int (cdr (std::da-nth 0 (cdr x))))
              (denv (cdr (std::da-nth 1 (cdr x)))))
           (and (integerp int) (denvp denv))))))

Theorem: consp-when-int+denv-p

(defthm consp-when-int+denv-p
  (implies (int+denv-p x) (consp x))
  :rule-classes :compound-recognizer)