Get the function field from a eval-state-init.
(eval-state-init->function x) → function
This is an ordinary field accessor created by fty::defprod.
Function:
(defun eval-state-init->function$inline (x) (declare (xargs :guard (eval-state-p x))) (declare (xargs :guard (equal (eval-state-kind x) :init))) (let ((__function__ 'eval-state-init->function)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (eval-state-kind x) :init) x))) (symbol-value-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm symbol-valuep-of-eval-state-init->function (b* ((function (eval-state-init->function$inline x))) (symbol-valuep function)) :rule-classes :rewrite)
Theorem:
(defthm eval-state-init->function$inline-of-eval-state-fix-x (equal (eval-state-init->function$inline (eval-state-fix x)) (eval-state-init->function$inline x)))
Theorem:
(defthm eval-state-init->function$inline-eval-state-equiv-congruence-on-x (implies (eval-state-equiv x x-equiv) (equal (eval-state-init->function$inline x) (eval-state-init->function$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm eval-state-init->function-when-wrong-kind (implies (not (equal (eval-state-kind x) :init)) (equal (eval-state-init->function x) (symbol-value-fix nil))))