Get the restriction field from a type-subset.
(type-subset->restriction x) → restriction
This is an ordinary field accessor created by fty::defprod.
Function:
(defun type-subset->restriction$inline (x) (declare (xargs :guard (type-subsetp x))) (declare (xargs :guard t)) (let ((__function__ 'type-subset->restriction)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (expression-fix (cdr (std::da-nth 2 x)))) :exec (cdr (std::da-nth 2 x)))))
Theorem:
(defthm expressionp-of-type-subset->restriction (b* ((restriction (type-subset->restriction$inline x))) (expressionp restriction)) :rule-classes :rewrite)
Theorem:
(defthm type-subset->restriction$inline-of-type-subset-fix-x (equal (type-subset->restriction$inline (type-subset-fix x)) (type-subset->restriction$inline x)))
Theorem:
(defthm type-subset->restriction$inline-type-subset-equiv-congruence-on-x (implies (type-subset-equiv x x-equiv) (equal (type-subset->restriction$inline x) (type-subset->restriction$inline x-equiv))) :rule-classes :congruence)