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System

System->definitions

Get the definitions field from a system.

Signature
(system->definitions x) → definitions
Arguments: x — Guard (systemp x).
Returns: definitions — Type (definition-listp definitions).

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

Definitions and Theorems

Function: system->definitions$inline

(defun system->definitions$inline (x)
  (declare (xargs :guard (systemp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'system->definitions))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (definition-list-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: definition-listp-of-system->definitions

(defthm definition-listp-of-system->definitions
  (b* ((definitions (system->definitions$inline x)))
    (definition-listp definitions))
  :rule-classes :rewrite)

Theorem: system->definitions$inline-of-system-fix-x

(defthm system->definitions$inline-of-system-fix-x
  (equal (system->definitions$inline (system-fix x))
         (system->definitions$inline x)))

Theorem: system->definitions$inline-system-equiv-congruence-on-x

(defthm system->definitions$inline-system-equiv-congruence-on-x
  (implies (system-equiv x x-equiv)
           (equal (system->definitions$inline x)
                  (system->definitions$inline x-equiv)))
  :rule-classes :congruence)