Users' Mathboxes Mathbox for BJ < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >   Mathboxes  >  df-bdc Unicode version

Definition df-bdc 11177
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 11176 . 2  wff BOUNDED  A
3 vx . . . . . 6  setvar  x
43cv 1286 . . . . 5  class  x
54, 1wcel 1436 . . . 4  wff  x  e.  A
65wbd 11148 . . 3  wff BOUNDED  x  e.  A
76, 3wal 1285 . 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  11178  bdel  11181  bdelir  11183
  Copyright terms: Public domain W3C validator