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Theorem dfom3 4315
Description: Alias for df-iom 4314. Use it instead of df-iom 4314 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
StepHypRef Expression
1 df-iom 4314 1  |-  om  =  |^| { x  |  (
(/)  e.  x  /\  A. y  e.  x  suc  y  e.  x ) }
Colors of variables: wff set class
Syntax hints:    /\ wa 97    = wceq 1243    e. wcel 1393   {cab 2026   A.wral 2306   (/)c0 3224   |^|cint 3615   suc csuc 4102   omcom 4313
This theorem depends on definitions:  df-iom 4314
This theorem is referenced by:  omex  4316  peano1  4317  peano2  4318  peano5  4321  bj-dfom  10057
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