Get the definitions field from a type-recursion.
(type-recursion->definitions x) → definitions
This is an ordinary field accessor created by fty::defprod.
Function:
(defun type-recursion->definitions$inline (x) (declare (xargs :guard (type-recursionp x))) (declare (xargs :guard t)) (let ((__function__ 'type-recursion->definitions)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (type-definition-list-fix (cdr (std::da-nth 0 x)))) :exec (cdr (std::da-nth 0 x)))))
Theorem:
(defthm type-definition-listp-of-type-recursion->definitions (b* ((definitions (type-recursion->definitions$inline x))) (type-definition-listp definitions)) :rule-classes :rewrite)
Theorem:
(defthm type-recursion->definitions$inline-of-type-recursion-fix-x (equal (type-recursion->definitions$inline (type-recursion-fix x)) (type-recursion->definitions$inline x)))
Theorem:
(defthm type-recursion->definitions$inline-type-recursion-equiv-congruence-on-x (implies (type-recursion-equiv x x-equiv) (equal (type-recursion->definitions$inline x) (type-recursion->definitions$inline x-equiv))) :rule-classes :congruence)