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Definition df-bdc 10790
Description: Define a bounded class as one such that membership in this class is a bounded formula. (Contributed by BJ, 3-Oct-2019.)
Assertion
Ref Expression
df-bdc  |-  (BOUNDED  A  <->  A. xBOUNDED  x  e.  A )
Distinct variable group:    x, A

Detailed syntax breakdown of Definition df-bdc
StepHypRef Expression
1 cA . . 3  class  A
21wbdc 10789 . 2  wff BOUNDED  A
3 vx . . . . . 6  setvar  x
43cv 1284 . . . . 5  class  x
54, 1wcel 1434 . . . 4  wff  x  e.  A
65wbd 10761 . . 3  wff BOUNDED  x  e.  A
76, 3wal 1283 . 2  wff  A. xBOUNDED  x  e.  A
82, 7wb 103 1  wff  (BOUNDED  A  <->  A. xBOUNDED  x  e.  A )
Colors of variables: wff set class
This definition is referenced by:  bdceq  10791  bdel  10794  bdelir  10796
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