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Definition df-bnj13 29055
Description: Define the following predicate:  R is set-like on  A. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Assertion
Ref Expression
df-bnj13  |-  ( R  Se  A  <->  A. x  e.  A  pred ( x ,  A ,  R
)  e.  _V )
Distinct variable groups:    x, R    x, A

Detailed syntax breakdown of Definition df-bnj13
StepHypRef Expression
1 cA . . 3  class  A
2 cR . . 3  class  R
31, 2w-bnj13 29054 . 2  wff  R  Se  A
4 vx . . . . . 6  set  x
54cv 1651 . . . . 5  class  x
61, 2, 5c-bnj14 29052 . . . 4  class  pred (
x ,  A ,  R )
7 cvv 2956 . . . 4  class  _V
86, 7wcel 1725 . . 3  wff  pred (
x ,  A ,  R )  e.  _V
98, 4, 1wral 2705 . 2  wff  A. x  e.  A  pred ( x ,  A ,  R
)  e.  _V
103, 9wb 177 1  wff  ( R  Se  A  <->  A. x  e.  A  pred ( x ,  A ,  R
)  e.  _V )
Colors of variables: wff set class
This definition is referenced by:  bnj93  29234  bnj1489  29425
  Copyright terms: Public domain W3C validator