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