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Proof-obligation

Proof-obligationp

Recognizer for proof-obligation structures.

Signature
(proof-obligationp x) → *

Definitions and Theorems

Function: proof-obligationp

(defun proof-obligationp (x)
 (declare (xargs :guard t))
 (let ((__function__ 'proof-obligationp))
  (declare (ignorable __function__))
  (and
   (mbe
      :logic (and (alistp x)
                  (equal (strip-cars x)
                         '(variables hypotheses
                                     conclusion source-expression)))
      :exec (fty::alist-with-carsp
                 x
                 '(variables hypotheses
                             conclusion source-expression)))
   (b* ((variables (cdr (std::da-nth 0 x)))
        (hypotheses (cdr (std::da-nth 1 x)))
        (conclusion (cdr (std::da-nth 2 x)))
        (source-expression (cdr (std::da-nth 3 x))))
     (and (typed-variable-listp variables)
          (obligation-hyp-listp hypotheses)
          (expressionp conclusion)
          (expressionp source-expression))))))

Theorem: consp-when-proof-obligationp

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