Get the root-key field from a bip32-key-tree.
(bip32-key-tree->root-key x) → root-key
This is an ordinary field accessor created by fty::defprod.
Function:
(defun bip32-key-tree->root-key$inline (x) (declare (xargs :guard (bip32-key-treep x))) (declare (xargs :guard t)) (let ((__function__ 'bip32-key-tree->root-key)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (bip32-ext-key-fix (std::da-nth 0 x))) :exec (std::da-nth 0 x))))
Theorem:
(defthm bip32-ext-key-p-of-bip32-key-tree->root-key (b* ((root-key (bip32-key-tree->root-key$inline x))) (bip32-ext-key-p root-key)) :rule-classes :rewrite)
Theorem:
(defthm bip32-key-tree->root-key$inline-of-bip32-key-tree-fix-x (equal (bip32-key-tree->root-key$inline (bip32-key-tree-fix x)) (bip32-key-tree->root-key$inline x)))
Theorem:
(defthm bip32-key-tree->root-key$inline-bip32-key-tree-equiv-congruence-on-x (implies (bip32-key-tree-equiv x x-equiv) (equal (bip32-key-tree->root-key$inline x) (bip32-key-tree->root-key$inline x-equiv))) :rule-classes :congruence)