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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)))
           (pos-fix (cdr (std::da-nth 1 x))))
         :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)