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