Theorem dflim2 4364

Description: Alias for df-ilim 4363. Use it instead of df-ilim 4363 for naming consistency with set.mm. (Contributed by NM, 4-Nov-2004.)

Assertion

Ref	Expression
dflim2	⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Proof of Theorem dflim2

Step	Hyp	Ref	Expression
1		df-ilim 4363	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 978   = wceq 1353   ∈ wcel 2146  ∅c0 3420  ∪ cuni 3805  Ord word 4356  Lim wlim 4358

This theorem depends on definitions:  df-ilim 4363

This theorem is referenced by:  limeq  4371  nlim0  4388  limord  4389  limuni  4390  0ellim  4392  limon  4506  limom  4607