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• Parstate$

Parstate$->position

Get the position field from a parstate$.

Signature

(parstate$->position x) → position

Arguments

x — Guard (parstate$-p x).

Returns

position — Type (positionp position).

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

Definitions and Theorems

Function: parstate$->position$inline

(defun parstate$->position$inline (x)
  (declare (xargs :guard (parstate$-p x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (position-fix (car (cdr (car x)))))
       :exec (car (cdr (car x)))))

Theorem: positionp-of-parstate$->position

(defthm positionp-of-parstate$->position
  (b* ((position (parstate$->position$inline x)))
    (positionp position))
  :rule-classes :rewrite)

Theorem: parstate$->position$inline-of-parstate$-fix-x

(defthm parstate$->position$inline-of-parstate$-fix-x
  (equal (parstate$->position$inline (parstate$-fix x))
         (parstate$->position$inline x)))

Theorem: parstate$->position$inline-parstate$-equiv-congruence-on-x

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