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• Fgl-function-mode

Fgl-function-mode->dont-concrete-exec

Access the |FGL|::|DONT-CONCRETE-EXEC| field of a fgl-function-mode bit structure.

Signature

(fgl-function-mode->dont-concrete-exec x) → dont-concrete-exec

Arguments

x — Guard (fgl-function-mode-p x).

Returns

dont-concrete-exec — Type (booleanp dont-concrete-exec).

Definitions and Theorems

Function: fgl-function-mode->dont-concrete-exec

(defun fgl-function-mode->dont-concrete-exec (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 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-fgl-function-mode->dont-concrete-exec

(defthm booleanp-of-fgl-function-mode->dont-concrete-exec
  (b*
    ((dont-concrete-exec (fgl-function-mode->dont-concrete-exec x)))
    (booleanp dont-concrete-exec))
  :rule-classes :rewrite)

Theorem: fgl-function-mode->dont-concrete-exec-of-fgl-function-mode-fix-x

(defthm
   fgl-function-mode->dont-concrete-exec-of-fgl-function-mode-fix-x
 (equal
   (fgl-function-mode->dont-concrete-exec (fgl-function-mode-fix x))
   (fgl-function-mode->dont-concrete-exec x)))

Theorem: fgl-function-mode->dont-concrete-exec-fgl-function-mode-equiv-congruence-on-x

(defthm
 fgl-function-mode->dont-concrete-exec-fgl-function-mode-equiv-congruence-on-x
 (implies (fgl-function-mode-equiv x x-equiv)
          (equal (fgl-function-mode->dont-concrete-exec x)
                 (fgl-function-mode->dont-concrete-exec x-equiv)))
 :rule-classes :congruence)

Theorem: fgl-function-mode->dont-concrete-exec-of-fgl-function-mode

(defthm fgl-function-mode->dont-concrete-exec-of-fgl-function-mode
 (equal
     (fgl-function-mode->dont-concrete-exec
          (fgl-function-mode split-ifs
                             dont-concrete-exec dont-expand-def
                             dont-rewrite dont-rewrite-under-if-test
                             dont-primitive-exec))
     (bool-fix dont-concrete-exec)))

Theorem: fgl-function-mode->dont-concrete-exec-of-write-with-mask

(defthm fgl-function-mode->dont-concrete-exec-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) 2) 0))
           (equal (fgl-function-mode->dont-concrete-exec x)
                  (fgl-function-mode->dont-concrete-exec y))))