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Hypothesis-lst-syntax

Hypothesis-syntax-p

Recognizer for hypothesis-syntax.

Signature
(hypothesis-syntax-p term) → syntax-good?
Returns: syntax-good? — Type (booleanp syntax-good?).

Definitions and Theorems

Function: hypothesis-syntax-p

(defun hypothesis-syntax-p (term)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'hypothesis-syntax-p))
    (declare (ignorable acl2::__function__))
    (or (and (atom term) (equal term nil))
        (and (true-listp term)
             (car term)
             (not (cdr term))
             (pseudo-termp (car term)))
        (and (true-listp term)
             (car term)
             (cadr term)
             (not (cdddr term))
             (pseudo-termp (car term))
             (equal (cadr term) ':hints)
             (hints-syntax-p (caddr term))))))

Theorem: booleanp-of-hypothesis-syntax-p

(defthm booleanp-of-hypothesis-syntax-p
  (b* ((syntax-good? (hypothesis-syntax-p term)))
    (booleanp syntax-good?))
  :rule-classes :rewrite)

Theorem: true-listp-of-caddr

(defthm true-listp-of-caddr
  (implies (and (consp term)
                (consp (cdr term))
                (true-listp (cddr term))
                (equal (+ 2 (len (cddr term))) 3)
                (pseudo-termp (car term))
                (equal (cadr term) :hints)
                (hints-syntax-p (caddr term)))
           (true-listp (caddr term))))