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Definition df-fin6 7916
Description: A set is VI-finite iff it behaves finitely under  X.. Definition VI of [Levy58] p. 4. (Contributed by Stefan O'Rear, 12-Nov-2014.)
Assertion
Ref Expression
df-fin6  |- FinVI  =  {
x  |  ( x 
~<  2o  \/  x  ~<  ( x  X.  x ) ) }

Detailed syntax breakdown of Definition df-fin6
StepHypRef Expression
1 cfin6 7909 . 2  class FinVI
2 vx . . . . . 6  set  x
32cv 1622 . . . . 5  class  x
4 c2o 6473 . . . . 5  class  2o
5 csdm 6862 . . . . 5  class  ~<
63, 4, 5wbr 4023 . . . 4  wff  x  ~<  2o
73, 3cxp 4687 . . . . 5  class  ( x  X.  x )
83, 7, 5wbr 4023 . . . 4  wff  x  ~<  ( x  X.  x )
96, 8wo 357 . . 3  wff  ( x 
~<  2o  \/  x  ~<  ( x  X.  x ) )
109, 2cab 2269 . 2  class  { x  |  ( x  ~<  2o  \/  x  ~<  (
x  X.  x ) ) }
111, 10wceq 1623 1  wff FinVI  =  {
x  |  ( x 
~<  2o  \/  x  ~<  ( x  X.  x ) ) }
Colors of variables: wff set class
This definition is referenced by:  isfin6  7926
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