Update the |X86ISA|::|UNKNOWNBITS| field of a system-segment-descriptor-attributesbits bit structure.
(!system-segment-descriptor-attributesbits->unknownbits unknownbits x) → new-x
Function:
(defun !system-segment-descriptor-attributesbits->unknownbits$inline (unknownbits x) (declare (xargs :guard (and (6bits-p unknownbits) (system-segment-descriptor-attributesbits-p x)))) (mbe :logic (b* ((unknownbits (mbe :logic (6bits-fix unknownbits) :exec unknownbits)) (x (system-segment-descriptor-attributesbits-fix x))) (part-install unknownbits x :width 6 :low 10)) :exec (the (unsigned-byte 16) (logior (the (unsigned-byte 16) (logand (the (unsigned-byte 16) x) (the (signed-byte 17) -64513))) (the (unsigned-byte 16) (ash (the (unsigned-byte 6) unknownbits) 10))))))
Theorem:
(defthm system-segment-descriptor-attributesbits-p-of-!system-segment-descriptor-attributesbits->unknownbits (b* ((new-x (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x))) (system-segment-descriptor-attributesbits-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm !system-segment-descriptor-attributesbits->unknownbits$inline-of-6bits-fix-unknownbits (equal (!system-segment-descriptor-attributesbits->unknownbits$inline (6bits-fix unknownbits) x) (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x)))
Theorem:
(defthm !system-segment-descriptor-attributesbits->unknownbits$inline-6bits-equiv-congruence-on-unknownbits (implies (6bits-equiv unknownbits unknownbits-equiv) (equal (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x) (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits-equiv x))) :rule-classes :congruence)
Theorem:
(defthm !system-segment-descriptor-attributesbits->unknownbits$inline-of-system-segment-descriptor-attributesbits-fix-x (equal (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits (system-segment-descriptor-attributesbits-fix x)) (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x)))
Theorem:
(defthm !system-segment-descriptor-attributesbits->unknownbits$inline-system-segment-descriptor-attributesbits-equiv-congruence-on-x (implies (system-segment-descriptor-attributesbits-equiv x x-equiv) (equal (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x) (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x-equiv))) :rule-classes :congruence)
Theorem:
(defthm !system-segment-descriptor-attributesbits->unknownbits-is-system-segment-descriptor-attributesbits (equal (!system-segment-descriptor-attributesbits->unknownbits unknownbits x) (change-system-segment-descriptor-attributesbits x :unknownbits unknownbits)))
Theorem:
(defthm system-segment-descriptor-attributesbits->unknownbits-of-!system-segment-descriptor-attributesbits->unknownbits (b* ((?new-x (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x))) (equal (system-segment-descriptor-attributesbits->unknownbits new-x) (6bits-fix unknownbits))))
Theorem:
(defthm !system-segment-descriptor-attributesbits->unknownbits-equiv-under-mask (b* ((?new-x (!system-segment-descriptor-attributesbits->unknownbits$inline unknownbits x))) (system-segment-descriptor-attributesbits-equiv-under-mask new-x x 1023)))