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Interp-flags

Interp-flags->make-ites

Access the |FGL|::|MAKE-ITES| field of a interp-flags bit structure.

Signature
(interp-flags->make-ites x) → make-ites
Arguments: x — Guard (interp-flags-p x).
Returns: make-ites — Type (booleanp make-ites).

Definitions and Theorems

Function: interp-flags->make-ites

(defun interp-flags->make-ites (x)
 (declare (xargs :guard (interp-flags-p x)))
 (mbe
     :logic
     (let ((x (interp-flags-fix x)))
       (bit->bool (acl2::part-select x :low 2 :width 1)))
     :exec
     (bit->bool
          (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 3)
                            (ash (the (unsigned-byte 5) x) -2)))))))

Theorem: booleanp-of-interp-flags->make-ites

(defthm booleanp-of-interp-flags->make-ites
  (b* ((make-ites (interp-flags->make-ites x)))
    (booleanp make-ites))
  :rule-classes :rewrite)

Theorem: interp-flags->make-ites-of-interp-flags-fix-x

(defthm interp-flags->make-ites-of-interp-flags-fix-x
  (equal (interp-flags->make-ites (interp-flags-fix x))
         (interp-flags->make-ites x)))

Theorem: interp-flags->make-ites-interp-flags-equiv-congruence-on-x

(defthm interp-flags->make-ites-interp-flags-equiv-congruence-on-x
  (implies (interp-flags-equiv x x-equiv)
           (equal (interp-flags->make-ites x)
                  (interp-flags->make-ites x-equiv)))
  :rule-classes :congruence)

Theorem: interp-flags->make-ites-of-interp-flags

(defthm interp-flags->make-ites-of-interp-flags
  (equal (interp-flags->make-ites
              (interp-flags intro-bvars trace-rewrites
                            make-ites branch-on-ifs hide))
         (bool-fix make-ites)))

Theorem: interp-flags->make-ites-of-write-with-mask

(defthm interp-flags->make-ites-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x interp-flags-equiv-under-mask)
                (interp-flags-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 4) 0))
           (equal (interp-flags->make-ites x)
                  (interp-flags->make-ites y))))