Update the |X86ISA|::|G| field of a system-segment-descriptor-attributesbits bit structure.
(!system-segment-descriptor-attributesbits->g g x) → new-x
Function:
(defun !system-segment-descriptor-attributesbits->g$inline (g x) (declare (xargs :guard (and (bitp g) (system-segment-descriptor-attributesbits-p x)))) (mbe :logic (b* ((g (mbe :logic (bfix g) :exec g)) (x (system-segment-descriptor-attributesbits-fix x))) (part-install g x :width 1 :low 9)) :exec (the (unsigned-byte 16) (logior (the (unsigned-byte 16) (logand (the (unsigned-byte 16) x) (the (signed-byte 11) -513))) (the (unsigned-byte 10) (ash (the (unsigned-byte 1) g) 9))))))
Theorem:
(defthm system-segment-descriptor-attributesbits-p-of-!system-segment-descriptor-attributesbits->g (b* ((new-x (!system-segment-descriptor-attributesbits->g$inline g x))) (system-segment-descriptor-attributesbits-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm !system-segment-descriptor-attributesbits->g$inline-of-bfix-g (equal (!system-segment-descriptor-attributesbits->g$inline (bfix g) x) (!system-segment-descriptor-attributesbits->g$inline g x)))
Theorem:
(defthm !system-segment-descriptor-attributesbits->g$inline-bit-equiv-congruence-on-g (implies (bit-equiv g g-equiv) (equal (!system-segment-descriptor-attributesbits->g$inline g x) (!system-segment-descriptor-attributesbits->g$inline g-equiv x))) :rule-classes :congruence)
Theorem:
(defthm !system-segment-descriptor-attributesbits->g$inline-of-system-segment-descriptor-attributesbits-fix-x (equal (!system-segment-descriptor-attributesbits->g$inline g (system-segment-descriptor-attributesbits-fix x)) (!system-segment-descriptor-attributesbits->g$inline g x)))
Theorem:
(defthm !system-segment-descriptor-attributesbits->g$inline-system-segment-descriptor-attributesbits-equiv-congruence-on-x (implies (system-segment-descriptor-attributesbits-equiv x x-equiv) (equal (!system-segment-descriptor-attributesbits->g$inline g x) (!system-segment-descriptor-attributesbits->g$inline g x-equiv))) :rule-classes :congruence)
Theorem:
(defthm !system-segment-descriptor-attributesbits->g-is-system-segment-descriptor-attributesbits (equal (!system-segment-descriptor-attributesbits->g g x) (change-system-segment-descriptor-attributesbits x :g g)))
Theorem:
(defthm system-segment-descriptor-attributesbits->g-of-!system-segment-descriptor-attributesbits->g (b* ((?new-x (!system-segment-descriptor-attributesbits->g$inline g x))) (equal (system-segment-descriptor-attributesbits->g new-x) (bfix g))))
Theorem:
(defthm !system-segment-descriptor-attributesbits->g-equiv-under-mask (b* ((?new-x (!system-segment-descriptor-attributesbits->g$inline g x))) (system-segment-descriptor-attributesbits-equiv-under-mask new-x x -513)))