Access the |X86ISA|::|BASE63-32| field of a system-segment-descriptorbits bit structure.
(system-segment-descriptorbits->base63-32 x) → base63-32
Function:
(defun system-segment-descriptorbits->base63-32$inline (x) (declare (xargs :guard (system-segment-descriptorbits-p x))) (mbe :logic (let ((x (system-segment-descriptorbits-fix x))) (part-select x :low 64 :width 32)) :exec (the (unsigned-byte 32) (logand (the (unsigned-byte 32) 4294967295) (the (unsigned-byte 64) (ash (the (unsigned-byte 128) x) -64))))))
Theorem:
(defthm 32bits-p-of-system-segment-descriptorbits->base63-32 (b* ((base63-32 (system-segment-descriptorbits->base63-32$inline x))) (32bits-p base63-32)) :rule-classes :rewrite)
Theorem:
(defthm system-segment-descriptorbits->base63-32$inline-of-system-segment-descriptorbits-fix-x (equal (system-segment-descriptorbits->base63-32$inline (system-segment-descriptorbits-fix x)) (system-segment-descriptorbits->base63-32$inline x)))
Theorem:
(defthm system-segment-descriptorbits->base63-32$inline-system-segment-descriptorbits-equiv-congruence-on-x (implies (system-segment-descriptorbits-equiv x x-equiv) (equal (system-segment-descriptorbits->base63-32$inline x) (system-segment-descriptorbits->base63-32$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm system-segment-descriptorbits->base63-32-of-system-segment-descriptorbits (equal (system-segment-descriptorbits->base63-32 (system-segment-descriptorbits limit15-0 base15-0 base23-16 type s dpl p limit19-16 avl res1 g base31-24 base63-32 res2 all-zeroes? res3)) (32bits-fix base63-32)))
Theorem:
(defthm system-segment-descriptorbits->base63-32-of-write-with-mask (implies (and (fty::bitstruct-read-over-write-hyps x system-segment-descriptorbits-equiv-under-mask) (system-segment-descriptorbits-equiv-under-mask x y fty::mask) (equal (logand (lognot fty::mask) 79228162495817593519834398720) 0)) (equal (system-segment-descriptorbits->base63-32 x) (system-segment-descriptorbits->base63-32 y))))