Theorem dflim2 4401

Description: Alias for df-ilim 4400. Use it instead of df-ilim 4400 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 4400	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 980   = wceq 1364   ∈ wcel 2164  ∅c0 3446  ∪ cuni 3835  Ord word 4393  Lim wlim 4395

This theorem depends on definitions:  df-ilim 4400

This theorem is referenced by:  limeq  4408  nlim0  4425  limord  4426  limuni  4427  0ellim  4429  limon  4545  limom  4646