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Atc-fn-info

Atc-fn-info->limit

Get the limit field from a atc-fn-info.

Signature
(atc-fn-info->limit x) → limit
Arguments: x — Guard (atc-fn-infop x).
Returns: limit — Type (pseudo-termp limit).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: atc-fn-info->limit$inline

(defun atc-fn-info->limit$inline (x)
  (declare (xargs :guard (atc-fn-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atc-fn-info->limit))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-fix (cdr (std::da-nth 10 x))))
         :exec (cdr (std::da-nth 10 x)))))

Theorem: pseudo-termp-of-atc-fn-info->limit

(defthm pseudo-termp-of-atc-fn-info->limit
  (b* ((limit (atc-fn-info->limit$inline x)))
    (pseudo-termp limit))
  :rule-classes :rewrite)

Theorem: atc-fn-info->limit$inline-of-atc-fn-info-fix-x

(defthm atc-fn-info->limit$inline-of-atc-fn-info-fix-x
  (equal (atc-fn-info->limit$inline (atc-fn-info-fix x))
         (atc-fn-info->limit$inline x)))

Theorem: atc-fn-info->limit$inline-atc-fn-info-equiv-congruence-on-x

(defthm atc-fn-info->limit$inline-atc-fn-info-equiv-congruence-on-x
  (implies (atc-fn-info-equiv x x-equiv)
           (equal (atc-fn-info->limit$inline x)
                  (atc-fn-info->limit$inline x-equiv)))
  :rule-classes :congruence)