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Proof-outcome

Proof-outcomep

Recognizer for proof-outcome structures.

Signature
(proof-outcomep x) → *

Definitions and Theorems

Function: proof-outcomep

(defun proof-outcomep (x)
  (declare (xargs :guard t))
  (let ((__function__ 'proof-outcomep))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :assertion))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (assertionp get))))
               ((eq (car x) :fail)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               (t (and (eq (car x) :error)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 0))
                       (b* nil t)))))))

Theorem: consp-when-proof-outcomep

(defthm consp-when-proof-outcomep
  (implies (proof-outcomep x) (consp x))
  :rule-classes :compound-recognizer)