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