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Interp-flags

Interp-flags->intro-bvars

Access the |FGL|::|INTRO-BVARS| field of a interp-flags bit structure.

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

Definitions and Theorems

Function: interp-flags->intro-bvars

(defun interp-flags->intro-bvars (x)
  (declare (xargs :guard (interp-flags-p x)))
  (mbe :logic
       (let ((x (interp-flags-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: booleanp-of-interp-flags->intro-bvars

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

Theorem: interp-flags->intro-bvars-of-interp-flags-fix-x

(defthm interp-flags->intro-bvars-of-interp-flags-fix-x
  (equal (interp-flags->intro-bvars (interp-flags-fix x))
         (interp-flags->intro-bvars x)))

Theorem: interp-flags->intro-bvars-interp-flags-equiv-congruence-on-x

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

Theorem: interp-flags->intro-bvars-of-interp-flags

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

Theorem: interp-flags->intro-bvars-of-write-with-mask

(defthm interp-flags->intro-bvars-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) 1) 0))
           (equal (interp-flags->intro-bvars x)
                  (interp-flags->intro-bvars y))))