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Exprs-gin

Exprs-ginp

Recognizer for exprs-gin structures.

Signature
(exprs-ginp x) → *

Definitions and Theorems

Function: exprs-ginp

(defun exprs-ginp (x)
 (declare (xargs :guard t))
 (let ((__function__ 'exprs-ginp))
  (declare (ignorable __function__))
  (and
   (mbe
      :logic
      (and (alistp x)
           (equal (strip-cars x)
                  '(context inscope prec-tags fn fn-guard compst-var
                            thm-index names-to-avoid proofs)))
      :exec (fty::alist-with-carsp
                 x
                 '(context inscope prec-tags fn fn-guard compst-var
                           thm-index names-to-avoid proofs)))
   (b* ((context (cdr (std::da-nth 0 x)))
        (inscope (cdr (std::da-nth 1 x)))
        (prec-tags (cdr (std::da-nth 2 x)))
        (fn (cdr (std::da-nth 3 x)))
        (fn-guard (cdr (std::da-nth 4 x)))
        (compst-var (cdr (std::da-nth 5 x)))
        (thm-index (cdr (std::da-nth 6 x)))
        (names-to-avoid (cdr (std::da-nth 7 x)))
        (proofs (cdr (std::da-nth 8 x))))
     (and (atc-contextp context)
          (atc-symbol-varinfo-alist-listp inscope)
          (atc-string-taginfo-alistp prec-tags)
          (symbolp fn)
          (symbolp fn-guard)
          (symbolp compst-var)
          (posp thm-index)
          (symbol-listp names-to-avoid)
          (booleanp proofs))))))

Theorem: consp-when-exprs-ginp

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