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Cstate

Cstate->local

Get the local field from a cstate.

Signature
(cstate->local x) → local
Arguments: x — Guard (cstatep x).
Returns: local — Type (lstatep local).

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

Definitions and Theorems

Function: cstate->local$inline

(defun cstate->local$inline (x)
  (declare (xargs :guard (cstatep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'cstate->local))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (lstate-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: lstatep-of-cstate->local

(defthm lstatep-of-cstate->local
  (b* ((local (cstate->local$inline x)))
    (lstatep local))
  :rule-classes :rewrite)

Theorem: cstate->local$inline-of-cstate-fix-x

(defthm cstate->local$inline-of-cstate-fix-x
  (equal (cstate->local$inline (cstate-fix x))
         (cstate->local$inline x)))

Theorem: cstate->local$inline-cstate-equiv-congruence-on-x

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