Update the |X86ISA|::|BASE23-16| field of a code-segment-descriptorbits bit structure.
(!code-segment-descriptorbits->base23-16 base23-16 x) → new-x
Function:
(defun !code-segment-descriptorbits->base23-16$inline (base23-16 x) (declare (xargs :guard (and (8bits-p base23-16) (code-segment-descriptorbits-p x)))) (mbe :logic (b* ((base23-16 (mbe :logic (8bits-fix base23-16) :exec base23-16)) (x (code-segment-descriptorbits-fix x))) (part-install base23-16 x :width 8 :low 32)) :exec (the (unsigned-byte 64) (logior (the (unsigned-byte 64) (logand (the (unsigned-byte 64) x) (the (signed-byte 41) -1095216660481))) (the (unsigned-byte 40) (ash (the (unsigned-byte 8) base23-16) 32))))))
Theorem:
(defthm code-segment-descriptorbits-p-of-!code-segment-descriptorbits->base23-16 (b* ((new-x (!code-segment-descriptorbits->base23-16$inline base23-16 x))) (code-segment-descriptorbits-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm !code-segment-descriptorbits->base23-16$inline-of-8bits-fix-base23-16 (equal (!code-segment-descriptorbits->base23-16$inline (8bits-fix base23-16) x) (!code-segment-descriptorbits->base23-16$inline base23-16 x)))
Theorem:
(defthm !code-segment-descriptorbits->base23-16$inline-8bits-equiv-congruence-on-base23-16 (implies (8bits-equiv base23-16 base23-16-equiv) (equal (!code-segment-descriptorbits->base23-16$inline base23-16 x) (!code-segment-descriptorbits->base23-16$inline base23-16-equiv x))) :rule-classes :congruence)
Theorem:
(defthm !code-segment-descriptorbits->base23-16$inline-of-code-segment-descriptorbits-fix-x (equal (!code-segment-descriptorbits->base23-16$inline base23-16 (code-segment-descriptorbits-fix x)) (!code-segment-descriptorbits->base23-16$inline base23-16 x)))
Theorem:
(defthm !code-segment-descriptorbits->base23-16$inline-code-segment-descriptorbits-equiv-congruence-on-x (implies (code-segment-descriptorbits-equiv x x-equiv) (equal (!code-segment-descriptorbits->base23-16$inline base23-16 x) (!code-segment-descriptorbits->base23-16$inline base23-16 x-equiv))) :rule-classes :congruence)
Theorem:
(defthm !code-segment-descriptorbits->base23-16-is-code-segment-descriptorbits (equal (!code-segment-descriptorbits->base23-16 base23-16 x) (change-code-segment-descriptorbits x :base23-16 base23-16)))
Theorem:
(defthm code-segment-descriptorbits->base23-16-of-!code-segment-descriptorbits->base23-16 (b* ((?new-x (!code-segment-descriptorbits->base23-16$inline base23-16 x))) (equal (code-segment-descriptorbits->base23-16 new-x) (8bits-fix base23-16))))
Theorem:
(defthm !code-segment-descriptorbits->base23-16-equiv-under-mask (b* ((?new-x (!code-segment-descriptorbits->base23-16$inline base23-16 x))) (code-segment-descriptorbits-equiv-under-mask new-x x -1095216660481)))