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• Fgl-function-mode

!fgl-function-mode->dont-primitive-exec

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

Signature

(!fgl-function-mode->dont-primitive-exec dont-primitive-exec x) 
  → 
new-x

Arguments

dont-primitive-exec — Guard (booleanp dont-primitive-exec).

x — Guard (fgl-function-mode-p x).

Returns

new-x — Type (fgl-function-mode-p new-x).

Definitions and Theorems

Function: !fgl-function-mode->dont-primitive-exec

(defun !fgl-function-mode->dont-primitive-exec
       (dont-primitive-exec x)
 (declare (xargs :guard (and (booleanp dont-primitive-exec)
                             (fgl-function-mode-p x))))
 (mbe
  :logic
  (b* ((dont-primitive-exec (bool->bit dont-primitive-exec))
       (x (fgl-function-mode-fix x)))
    (acl2::part-install dont-primitive-exec x
                        :width 1
                        :low 5))
  :exec (the (unsigned-byte 6)
             (logior (the (unsigned-byte 6)
                          (logand (the (unsigned-byte 6) x)
                                  (the (signed-byte 7) -33)))
                     (the (unsigned-byte 6)
                          (ash (the (unsigned-byte 1)
                                    (bool->bit dont-primitive-exec))
                               5))))))

Theorem: fgl-function-mode-p-of-!fgl-function-mode->dont-primitive-exec

(defthm
     fgl-function-mode-p-of-!fgl-function-mode->dont-primitive-exec
  (b* ((new-x (!fgl-function-mode->dont-primitive-exec
                   dont-primitive-exec x)))
    (fgl-function-mode-p new-x))
  :rule-classes :rewrite)

Theorem: !fgl-function-mode->dont-primitive-exec-of-bool-fix-dont-primitive-exec

(defthm
 !fgl-function-mode->dont-primitive-exec-of-bool-fix-dont-primitive-exec
 (equal
   (!fgl-function-mode->dont-primitive-exec
        (bool-fix dont-primitive-exec)
        x)
   (!fgl-function-mode->dont-primitive-exec dont-primitive-exec x)))

Theorem: !fgl-function-mode->dont-primitive-exec-iff-congruence-on-dont-primitive-exec

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

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

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

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

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

Theorem: !fgl-function-mode->dont-primitive-exec-is-fgl-function-mode

(defthm !fgl-function-mode->dont-primitive-exec-is-fgl-function-mode
 (equal
     (!fgl-function-mode->dont-primitive-exec dont-primitive-exec x)
     (change-fgl-function-mode
          x
          :dont-primitive-exec dont-primitive-exec)))

Theorem: fgl-function-mode->dont-primitive-exec-of-!fgl-function-mode->dont-primitive-exec

(defthm
 fgl-function-mode->dont-primitive-exec-of-!fgl-function-mode->dont-primitive-exec
 (b* ((?new-x (!fgl-function-mode->dont-primitive-exec
                   dont-primitive-exec x)))
   (equal (fgl-function-mode->dont-primitive-exec new-x)
          (bool-fix dont-primitive-exec))))

Theorem: !fgl-function-mode->dont-primitive-exec-equiv-under-mask

(defthm !fgl-function-mode->dont-primitive-exec-equiv-under-mask
  (b* ((?new-x (!fgl-function-mode->dont-primitive-exec
                    dont-primitive-exec x)))
    (fgl-function-mode-equiv-under-mask new-x x 31)))