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Obligation-hyp

Obligation-hypp

Recognizer for obligation-hyp structures.

Signature
(obligation-hypp x) → *

Definitions and Theorems

Function: obligation-hypp

(defun obligation-hypp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'obligation-hypp))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :condition))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (expressionp get))))
               (t (and (eq (car x) :binding)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 1))
                       (b* ((get (std::da-nth 0 (cdr x))))
                         (bindingp get))))))))

Theorem: consp-when-obligation-hypp

(defthm consp-when-obligation-hypp
  (implies (obligation-hypp x) (consp x))
  :rule-classes :compound-recognizer)