Theorem dflim2 4402

Description: Alias for df-ilim 4401. Use it instead of df-ilim 4401 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 4401	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 980   = wceq 1364   ∈ wcel 2164  ∅c0 3447  ∪ cuni 3836  Ord word 4394  Lim wlim 4396

This theorem depends on definitions:  df-ilim 4401

This theorem is referenced by:  limeq  4409  nlim0  4426  limord  4427  limuni  4428  0ellim  4430  limon  4546  limom  4647