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Balance-config

Balance-config->supergate-limit

Get the supergate-limit field from a balance-config.

Signature
(balance-config->supergate-limit x) → supergate-limit
Arguments: x — Guard (balance-config-p x).
Returns: supergate-limit — Type (posp supergate-limit).

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

Definitions and Theorems

Function: balance-config->supergate-limit$inline

(defun balance-config->supergate-limit$inline (x)
  (declare (xargs :guard (balance-config-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'balance-config->supergate-limit))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pos-fix (cdr (std::da-nth 3 (cdr x)))))
         :exec (cdr (std::da-nth 3 (cdr x))))))

Theorem: posp-of-balance-config->supergate-limit

(defthm posp-of-balance-config->supergate-limit
  (b* ((supergate-limit (balance-config->supergate-limit$inline x)))
    (posp supergate-limit))
  :rule-classes :rewrite)

Theorem: balance-config->supergate-limit$inline-of-balance-config-fix-x

(defthm
     balance-config->supergate-limit$inline-of-balance-config-fix-x
 (equal
     (balance-config->supergate-limit$inline (balance-config-fix x))
     (balance-config->supergate-limit$inline x)))

Theorem: balance-config->supergate-limit$inline-balance-config-equiv-congruence-on-x

(defthm
 balance-config->supergate-limit$inline-balance-config-equiv-congruence-on-x
 (implies (balance-config-equiv x x-equiv)
          (equal (balance-config->supergate-limit$inline x)
                 (balance-config->supergate-limit$inline x-equiv)))
 :rule-classes :congruence)