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System-state

System-state->validators

Get the validators field from a system-state.

Signature
(system-state->validators x) → validators
Arguments: x — Guard (system-statep x).
Returns: validators — Type (validators-statep validators).

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

Definitions and Theorems

Function: system-state->validators$inline

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

Theorem: validators-statep-of-system-state->validators

(defthm validators-statep-of-system-state->validators
  (b* ((validators (system-state->validators$inline x)))
    (validators-statep validators))
  :rule-classes :rewrite)

Theorem: system-state->validators$inline-of-system-state-fix-x

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

Theorem: system-state->validators$inline-system-state-equiv-congruence-on-x

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