Get the key field from a bip32-ext-priv-key.
(bip32-ext-priv-key->key x) → key
This is an ordinary field accessor created by fty::defprod.
Function:
(defun bip32-ext-priv-key->key$inline (x) (declare (xargs :guard (bip32-ext-priv-key-p x))) (declare (xargs :guard t)) (let ((__function__ 'bip32-ext-priv-key->key)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (ecurve::secp256k1-priv-key-fix (std::da-nth 0 x))) :exec (std::da-nth 0 x))))
Theorem:
(defthm secp256k1-priv-key-p-of-bip32-ext-priv-key->key (b* ((key (bip32-ext-priv-key->key$inline x))) (secp256k1-priv-key-p key)) :rule-classes :rewrite)
Theorem:
(defthm bip32-ext-priv-key->key$inline-of-bip32-ext-priv-key-fix-x (equal (bip32-ext-priv-key->key$inline (bip32-ext-priv-key-fix x)) (bip32-ext-priv-key->key$inline x)))
Theorem:
(defthm bip32-ext-priv-key->key$inline-bip32-ext-priv-key-equiv-congruence-on-x (implies (bip32-ext-priv-key-equiv x x-equiv) (equal (bip32-ext-priv-key->key$inline x) (bip32-ext-priv-key->key$inline x-equiv))) :rule-classes :congruence)