Update the |X86ISA|::|UNKNOWNBITS| field of a interrupt/trap-gate-descriptor-attributesbits bit structure.
(!interrupt/trap-gate-descriptor-attributesbits->unknownbits unknownbits x) → new-x
Function:
(defun !interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline (unknownbits x) (declare (xargs :guard (and (5bits-p unknownbits) (interrupt/trap-gate-descriptor-attributesbits-p x)))) (mbe :logic (b* ((unknownbits (mbe :logic (5bits-fix unknownbits) :exec unknownbits)) (x (interrupt/trap-gate-descriptor-attributesbits-fix x))) (part-install unknownbits x :width 5 :low 11)) :exec (the (unsigned-byte 16) (logior (the (unsigned-byte 16) (logand (the (unsigned-byte 16) x) (the (signed-byte 17) -63489))) (the (unsigned-byte 16) (ash (the (unsigned-byte 5) unknownbits) 11))))))
Theorem:
(defthm interrupt/trap-gate-descriptor-attributesbits-p-of-!interrupt/trap-gate-descriptor-attributesbits->unknownbits (b* ((new-x (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x))) (interrupt/trap-gate-descriptor-attributesbits-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm !interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline-of-5bits-fix-unknownbits (equal (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline (5bits-fix unknownbits) x) (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x)))
Theorem:
(defthm !interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline-5bits-equiv-congruence-on-unknownbits (implies (5bits-equiv unknownbits unknownbits-equiv) (equal (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x) (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits-equiv x))) :rule-classes :congruence)
Theorem:
(defthm !interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline-of-interrupt/trap-gate-descriptor-attributesbits-fix-x (equal (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits (interrupt/trap-gate-descriptor-attributesbits-fix x)) (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x)))
Theorem:
(defthm !interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline-interrupt/trap-gate-descriptor-attributesbits-equiv-congruence-on-x (implies (interrupt/trap-gate-descriptor-attributesbits-equiv x x-equiv) (equal (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x) (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x-equiv))) :rule-classes :congruence)
Theorem:
(defthm !interrupt/trap-gate-descriptor-attributesbits->unknownbits-is-interrupt/trap-gate-descriptor-attributesbits (equal (!interrupt/trap-gate-descriptor-attributesbits->unknownbits unknownbits x) (change-interrupt/trap-gate-descriptor-attributesbits x :unknownbits unknownbits)))
Theorem:
(defthm interrupt/trap-gate-descriptor-attributesbits->unknownbits-of-!interrupt/trap-gate-descriptor-attributesbits->unknownbits (b* ((?new-x (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x))) (equal (interrupt/trap-gate-descriptor-attributesbits->unknownbits new-x) (5bits-fix unknownbits))))
Theorem:
(defthm !interrupt/trap-gate-descriptor-attributesbits->unknownbits-equiv-under-mask (b* ((?new-x (!interrupt/trap-gate-descriptor-attributesbits->unknownbits$inline unknownbits x))) (interrupt/trap-gate-descriptor-attributesbits-equiv-under-mask new-x x 2047)))