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