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