		Search-engine friendly clone of the ACL2 documentation.

Address+pos

Address+pos->pos

Get the pos field from a address+pos.

Signature
(address+pos->pos x) → pos
Arguments: x — Guard (address+pos-p x).
Returns: pos — Type (posp pos).

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

Definitions and Theorems

Function: address+pos->pos$inline

(defun address+pos->pos$inline (x)
  (declare (xargs :guard (address+pos-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'address+pos->pos))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pos-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: posp-of-address+pos->pos

(defthm posp-of-address+pos->pos
  (b* ((pos (address+pos->pos$inline x)))
    (posp pos))
  :rule-classes :rewrite)

Theorem: address+pos->pos$inline-of-address+pos-fix-x

(defthm address+pos->pos$inline-of-address+pos-fix-x
  (equal (address+pos->pos$inline (address+pos-fix x))
         (address+pos->pos$inline x)))

Theorem: address+pos->pos$inline-address+pos-equiv-congruence-on-x

(defthm address+pos->pos$inline-address+pos-equiv-congruence-on-x
  (implies (address+pos-equiv x x-equiv)
           (equal (address+pos->pos$inline x)
                  (address+pos->pos$inline x-equiv)))
  :rule-classes :congruence)