Theorem dflim2 4517

Description: Alias for df-ilim 4516. Use it instead of df-ilim 4516 for naming consistency with set.mm. (Contributed by NM, 4-Nov-2004.)

Assertion

Ref	Expression
dflim2	|- ( Lim A <-> ( Ord A /\ (/) e. A /\ A = U. A ) )

Proof of Theorem dflim2

Step	Hyp	Ref	Expression
1		df-ilim 4516	1 |- ( Lim A <-> ( Ord A /\ (/) e. A /\ A = U. A ) )

This proof depends on syntax axioms:   <-> wb 105   /\ w3a 1009   = wceq 1402   e. wcel 2209   (/)c0 3520   U.cuni 3935   Ord word 4509   Lim wlim 4511

This proof depends on definitions:  df-ilim 4516

This theorem is used by:  limeq  4524  nlim0  4541  limord  4542  limuni  4543  0ellim  4545  limon  4662  limom  4763