Access the |FGL|::|SPLIT-IFS| field of a fgl-function-mode bit structure.
(fgl-function-mode->split-ifs x) → split-ifs
Function:
(defun fgl-function-mode->split-ifs (x) (declare (xargs :guard (fgl-function-mode-p x))) (mbe :logic (let ((x (fgl-function-mode-fix x))) (bit->bool (acl2::part-select x :low 0 :width 1))) :exec (bit->bool (the (unsigned-byte 1) (logand (the (unsigned-byte 1) 1) (the (unsigned-byte 6) x))))))
Theorem:
(defthm booleanp-of-fgl-function-mode->split-ifs (b* ((split-ifs (fgl-function-mode->split-ifs x))) (booleanp split-ifs)) :rule-classes :rewrite)
Theorem:
(defthm fgl-function-mode->split-ifs-of-fgl-function-mode-fix-x (equal (fgl-function-mode->split-ifs (fgl-function-mode-fix x)) (fgl-function-mode->split-ifs x)))
Theorem:
(defthm fgl-function-mode->split-ifs-fgl-function-mode-equiv-congruence-on-x (implies (fgl-function-mode-equiv x x-equiv) (equal (fgl-function-mode->split-ifs x) (fgl-function-mode->split-ifs x-equiv))) :rule-classes :congruence)
Theorem:
(defthm fgl-function-mode->split-ifs-of-fgl-function-mode (equal (fgl-function-mode->split-ifs (fgl-function-mode split-ifs dont-concrete-exec dont-expand-def dont-rewrite dont-rewrite-under-if-test dont-primitive-exec)) (bool-fix split-ifs)))
Theorem:
(defthm fgl-function-mode->split-ifs-of-write-with-mask (implies (and (fty::bitstruct-read-over-write-hyps x fgl-function-mode-equiv-under-mask) (fgl-function-mode-equiv-under-mask x y fty::mask) (equal (logand (lognot fty::mask) 1) 0)) (equal (fgl-function-mode->split-ifs x) (fgl-function-mode->split-ifs y))))