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Theorem

Theoremp

Recognizer for theorem structures.

Signature
(theoremp x) → *

Definitions and Theorems

Function: theoremp

(defun theoremp (x)
 (declare (xargs :guard t))
 (let ((__function__ 'theoremp))
  (declare (ignorable __function__))
  (and
     (mbe :logic (and (alistp x)
                      (equal (strip-cars x)
                             '(name variables formula)))
          :exec (fty::alist-with-carsp x '(name variables formula)))
     (b* ((name (cdr (std::da-nth 0 x)))
          (variables (cdr (std::da-nth 1 x)))
          (formula (cdr (std::da-nth 2 x))))
       (and (identifierp name)
            (typed-variable-listp variables)
            (expressionp formula))))))

Theorem: consp-when-theoremp

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