Theorem dfom3 4333

Description: Alias for df-iom 4332. Use it instead of df-iom 4332 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4332	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 102   = wceq 1284   e. wcel 1433   {cab 2067   A.wral 2348   (/)c0 3251   |^|cint 3636   suc csuc 4120   omcom 4331

This theorem depends on definitions:  df-iom 4332

This theorem is referenced by:  omex  4334  peano1  4335  peano2  4336  peano5  4339  bj-dfom  10728