Access the |COMMON-LISP|::|TYPE| field of a interrupt/trap-gate-descriptorbits bit structure.
(interrupt/trap-gate-descriptorbits->type x) → type
Function:
(defun interrupt/trap-gate-descriptorbits->type$inline (x) (declare (xargs :guard (interrupt/trap-gate-descriptorbits-p x))) (mbe :logic (let ((x (interrupt/trap-gate-descriptorbits-fix x))) (part-select x :low 40 :width 4)) :exec (the (unsigned-byte 4) (logand (the (unsigned-byte 4) 15) (the (unsigned-byte 88) (ash (the (unsigned-byte 128) x) -40))))))
Theorem:
(defthm 4bits-p-of-interrupt/trap-gate-descriptorbits->type (b* ((type (interrupt/trap-gate-descriptorbits->type$inline x))) (4bits-p type)) :rule-classes :rewrite)
Theorem:
(defthm interrupt/trap-gate-descriptorbits->type$inline-of-interrupt/trap-gate-descriptorbits-fix-x (equal (interrupt/trap-gate-descriptorbits->type$inline (interrupt/trap-gate-descriptorbits-fix x)) (interrupt/trap-gate-descriptorbits->type$inline x)))
Theorem:
(defthm interrupt/trap-gate-descriptorbits->type$inline-interrupt/trap-gate-descriptorbits-equiv-congruence-on-x (implies (interrupt/trap-gate-descriptorbits-equiv x x-equiv) (equal (interrupt/trap-gate-descriptorbits->type$inline x) (interrupt/trap-gate-descriptorbits->type$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm interrupt/trap-gate-descriptorbits->type-of-interrupt/trap-gate-descriptorbits (equal (interrupt/trap-gate-descriptorbits->type (interrupt/trap-gate-descriptorbits offset15-0 selector ist res1 type s dpl p offset31-16 offset63-32 res2 all-zeros? res3)) (4bits-fix type)))
Theorem:
(defthm interrupt/trap-gate-descriptorbits->type-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) 16492674416640) 0)) (equal (interrupt/trap-gate-descriptorbits->type x) (interrupt/trap-gate-descriptorbits->type y))))