Get the address-key-index field from a command-error-address-key-derivation-fail.
(command-error-address-key-derivation-fail->address-key-index x) → address-key-index
This is an ordinary field accessor created by fty::defprod.
Function:
(defun command-error-address-key-derivation-fail->address-key-index$inline (x) (declare (xargs :guard (command-error-p x))) (declare (xargs :guard (equal (command-error-kind x) :address-key-derivation-fail))) (let ((__function__ 'command-error-address-key-derivation-fail->address-key-index)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (command-error-kind x) :address-key-derivation-fail) x))) (nfix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm natp-of-command-error-address-key-derivation-fail->address-key-index (b* ((address-key-index (command-error-address-key-derivation-fail->address-key-index$inline x))) (natp address-key-index)) :rule-classes :rewrite)
Theorem:
(defthm command-error-address-key-derivation-fail->address-key-index$inline-of-command-error-fix-x (equal (command-error-address-key-derivation-fail->address-key-index$inline (command-error-fix x)) (command-error-address-key-derivation-fail->address-key-index$inline x)))
Theorem:
(defthm command-error-address-key-derivation-fail->address-key-index$inline-command-error-equiv-congruence-on-x (implies (command-error-equiv x x-equiv) (equal (command-error-address-key-derivation-fail->address-key-index$inline x) (command-error-address-key-derivation-fail->address-key-index$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm command-error-address-key-derivation-fail->address-key-index-when-wrong-kind (implies (not (equal (command-error-kind x) :address-key-derivation-fail)) (equal (command-error-address-key-derivation-fail->address-key-index x) (nfix nil))))