Get the initst field from a svtv-precompose-data.
(svtv-precompose-data->initst x) → initst
This is an ordinary field accessor created by defprod.
Function:
(defun svtv-precompose-data->initst$inline (x) (declare (xargs :guard (svtv-precompose-data-p x))) (declare (xargs :guard t)) (let ((__function__ 'svtv-precompose-data->initst)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (svex-alist-fix (std::prod-car (std::prod-cdr (std::prod-cdr x))))) :exec (std::prod-car (std::prod-cdr (std::prod-cdr x))))))
Theorem:
(defthm svex-alist-p-of-svtv-precompose-data->initst (b* ((initst (svtv-precompose-data->initst$inline x))) (svex-alist-p initst)) :rule-classes :rewrite)
Theorem:
(defthm svtv-precompose-data->initst$inline-of-svtv-precompose-data-fix-x (equal (svtv-precompose-data->initst$inline (svtv-precompose-data-fix x)) (svtv-precompose-data->initst$inline x)))
Theorem:
(defthm svtv-precompose-data->initst$inline-svtv-precompose-data-equiv-congruence-on-x (implies (svtv-precompose-data-equiv x x-equiv) (equal (svtv-precompose-data->initst$inline x) (svtv-precompose-data->initst$inline x-equiv))) :rule-classes :congruence)