Update the |X86ISA|::|LIMIT19-16| field of a code-segment-descriptorbits bit structure.
(!code-segment-descriptorbits->limit19-16 limit19-16 x) → new-x
Function:
(defun !code-segment-descriptorbits->limit19-16$inline (limit19-16 x) (declare (xargs :guard (and (4bits-p limit19-16) (code-segment-descriptorbits-p x)))) (mbe :logic (b* ((limit19-16 (mbe :logic (4bits-fix limit19-16) :exec limit19-16)) (x (code-segment-descriptorbits-fix x))) (part-install limit19-16 x :width 4 :low 48)) :exec (the (unsigned-byte 64) (logior (the (unsigned-byte 64) (logand (the (unsigned-byte 64) x) (the (signed-byte 53) -4222124650659841))) (the (unsigned-byte 52) (ash (the (unsigned-byte 4) limit19-16) 48))))))
Theorem:
(defthm code-segment-descriptorbits-p-of-!code-segment-descriptorbits->limit19-16 (b* ((new-x (!code-segment-descriptorbits->limit19-16$inline limit19-16 x))) (code-segment-descriptorbits-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm !code-segment-descriptorbits->limit19-16$inline-of-4bits-fix-limit19-16 (equal (!code-segment-descriptorbits->limit19-16$inline (4bits-fix limit19-16) x) (!code-segment-descriptorbits->limit19-16$inline limit19-16 x)))
Theorem:
(defthm !code-segment-descriptorbits->limit19-16$inline-4bits-equiv-congruence-on-limit19-16 (implies (4bits-equiv limit19-16 limit19-16-equiv) (equal (!code-segment-descriptorbits->limit19-16$inline limit19-16 x) (!code-segment-descriptorbits->limit19-16$inline limit19-16-equiv x))) :rule-classes :congruence)
Theorem:
(defthm !code-segment-descriptorbits->limit19-16$inline-of-code-segment-descriptorbits-fix-x (equal (!code-segment-descriptorbits->limit19-16$inline limit19-16 (code-segment-descriptorbits-fix x)) (!code-segment-descriptorbits->limit19-16$inline limit19-16 x)))
Theorem:
(defthm !code-segment-descriptorbits->limit19-16$inline-code-segment-descriptorbits-equiv-congruence-on-x (implies (code-segment-descriptorbits-equiv x x-equiv) (equal (!code-segment-descriptorbits->limit19-16$inline limit19-16 x) (!code-segment-descriptorbits->limit19-16$inline limit19-16 x-equiv))) :rule-classes :congruence)
Theorem:
(defthm !code-segment-descriptorbits->limit19-16-is-code-segment-descriptorbits (equal (!code-segment-descriptorbits->limit19-16 limit19-16 x) (change-code-segment-descriptorbits x :limit19-16 limit19-16)))
Theorem:
(defthm code-segment-descriptorbits->limit19-16-of-!code-segment-descriptorbits->limit19-16 (b* ((?new-x (!code-segment-descriptorbits->limit19-16$inline limit19-16 x))) (equal (code-segment-descriptorbits->limit19-16 new-x) (4bits-fix limit19-16))))
Theorem:
(defthm !code-segment-descriptorbits->limit19-16-equiv-under-mask (b* ((?new-x (!code-segment-descriptorbits->limit19-16$inline limit19-16 x))) (code-segment-descriptorbits-equiv-under-mask new-x x -4222124650659841)))