		Search-engine friendly clone of the ACL2 documentation.

Block

Block->round

Get the round field from a block.

Signature
(block->round x) → round
Arguments: x — Guard (blockp x).
Returns: round — Type (posp round).

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

Definitions and Theorems

Function: block->round$inline

(defun block->round$inline (x)
 (declare (xargs :guard (blockp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'block->round))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b*
      ((x (and t x))
       (transactions (transaction-list-fix (cdr (std::da-nth 0 x))))
       (round (pos-fix (cdr (std::da-nth 1 x)))))
      (if (evenp round) round 2))
    :exec (cdr (std::da-nth 1 x)))))

Theorem: posp-of-block->round

(defthm posp-of-block->round
  (b* ((round (block->round$inline x)))
    (posp round))
  :rule-classes :rewrite)

Theorem: block->round$inline-of-block-fix-x

(defthm block->round$inline-of-block-fix-x
  (equal (block->round$inline (block-fix x))
         (block->round$inline x)))

Theorem: block->round$inline-block-equiv-congruence-on-x

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