Access the |X86ISA|::|RES2| field of a interrupt/trap-gate-descriptorbits bit structure.
(interrupt/trap-gate-descriptorbits->res2 x) → res2
Function:
(defun interrupt/trap-gate-descriptorbits->res2$inline (x) (declare (xargs :guard (interrupt/trap-gate-descriptorbits-p x))) (mbe :logic (let ((x (interrupt/trap-gate-descriptorbits-fix x))) (part-select x :low 96 :width 8)) :exec (the (unsigned-byte 8) (logand (the (unsigned-byte 8) 255) (the (unsigned-byte 32) (ash (the (unsigned-byte 128) x) -96))))))
Theorem:
(defthm 8bits-p-of-interrupt/trap-gate-descriptorbits->res2 (b* ((res2 (interrupt/trap-gate-descriptorbits->res2$inline x))) (8bits-p res2)) :rule-classes :rewrite)
Theorem:
(defthm interrupt/trap-gate-descriptorbits->res2$inline-of-interrupt/trap-gate-descriptorbits-fix-x (equal (interrupt/trap-gate-descriptorbits->res2$inline (interrupt/trap-gate-descriptorbits-fix x)) (interrupt/trap-gate-descriptorbits->res2$inline x)))
Theorem:
(defthm interrupt/trap-gate-descriptorbits->res2$inline-interrupt/trap-gate-descriptorbits-equiv-congruence-on-x (implies (interrupt/trap-gate-descriptorbits-equiv x x-equiv) (equal (interrupt/trap-gate-descriptorbits->res2$inline x) (interrupt/trap-gate-descriptorbits->res2$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm interrupt/trap-gate-descriptorbits->res2-of-interrupt/trap-gate-descriptorbits (equal (interrupt/trap-gate-descriptorbits->res2 (interrupt/trap-gate-descriptorbits offset15-0 selector ist res1 type s dpl p offset31-16 offset63-32 res2 all-zeros? res3)) (8bits-fix res2)))
Theorem:
(defthm interrupt/trap-gate-descriptorbits->res2-of-write-with-mask (implies (and (fty::bitstruct-read-over-write-hyps x interrupt/trap-gate-descriptorbits-equiv-under-mask) (interrupt/trap-gate-descriptorbits-equiv-under-mask x y fty::mask) (equal (logand (lognot fty::mask) 20203181441137406086353707335680) 0)) (equal (interrupt/trap-gate-descriptorbits->res2 x) (interrupt/trap-gate-descriptorbits->res2 y))))