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• Stat

Stat->keys

Get the keys field from a stat.

Signature

(stat->keys x) → keys

Arguments

x — Guard (statp x).

Returns

keys — Type (bitcoin::bip32-key-treep keys).

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

Definitions and Theorems

Function: stat->keys$inline

(defun stat->keys$inline (x)
  (declare (xargs :guard (statp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'stat->keys))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (bitcoin::bip32-key-tree-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: bip32-key-treep-of-stat->keys

(defthm bip32-key-treep-of-stat->keys
  (b* ((keys (stat->keys$inline x)))
    (bitcoin::bip32-key-treep keys))
  :rule-classes :rewrite)

Theorem: stat->keys$inline-of-stat-fix-x

(defthm stat->keys$inline-of-stat-fix-x
  (equal (stat->keys$inline (stat-fix x))
         (stat->keys$inline x)))

Theorem: stat->keys$inline-stat-equiv-congruence-on-x

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