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Definition df-bdc 10348
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 ↔ ∀𝑥BOUNDED 𝑥𝐴)
Distinct variable group:   𝑥,𝐴

Detailed syntax breakdown of Definition df-bdc
StepHypRef Expression
1 cA . . 3 class 𝐴
21wbdc 10347 . 2 wff BOUNDED 𝐴
3 vx . . . . . 6 setvar 𝑥
43cv 1258 . . . . 5 class 𝑥
54, 1wcel 1409 . . . 4 wff 𝑥𝐴
65wbd 10319 . . 3 wff BOUNDED 𝑥𝐴
76, 3wal 1257 . 2 wff 𝑥BOUNDED 𝑥𝐴
82, 7wb 102 1 wff (BOUNDED 𝐴 ↔ ∀𝑥BOUNDED 𝑥𝐴)
Colors of variables: wff set class
This definition is referenced by:  bdceq  10349  bdel  10352  bdelir  10354
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