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Interp-flags

Interp-flags->intro-synvars

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

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

Definitions and Theorems

Function: interp-flags->intro-synvars

(defun interp-flags->intro-synvars (x)
 (declare (xargs :guard (interp-flags-p x)))
 (mbe
     :logic
     (let ((x (interp-flags-fix x)))
       (bit->bool (acl2::part-select x :low 1 :width 1)))
     :exec
     (bit->bool
          (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 5)
                            (ash (the (unsigned-byte 6) x) -1)))))))

Theorem: booleanp-of-interp-flags->intro-synvars

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

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

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

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

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

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

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

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

(defthm interp-flags->intro-synvars-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) 2) 0))
           (equal (interp-flags->intro-synvars x)
                  (interp-flags->intro-synvars y))))