Theorem dflim2 4382

Description: Alias for df-ilim 4381. Use it instead of df-ilim 4381 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 4381	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 979   = wceq 1363   ∈ wcel 2158  ∅c0 3434  ∪ cuni 3821  Ord word 4374  Lim wlim 4376

This theorem depends on definitions:  df-ilim 4381

This theorem is referenced by:  limeq  4389  nlim0  4406  limord  4407  limuni  4408  0ellim  4410  limon  4524  limom  4625