Theorem dflim2 4493

Description: Alias for df-ilim 4492. Use it instead of df-ilim 4492 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 4492	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 1005   = wceq 1398   ∈ wcel 2205  ∅c0 3510  ∪ cuni 3916  Ord word 4485  Lim wlim 4487

This theorem depends on definitions:  df-ilim 4492

This theorem is referenced by:  limeq  4500  nlim0  4517  limord  4518  limuni  4519  0ellim  4521  limon  4637  limom  4738