Theorem dflim2 4467

Description: Alias for df-ilim 4466. Use it instead of df-ilim 4466 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 4466	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 1004   = wceq 1397   ∈ wcel 2202  ∅c0 3494  ∪ cuni 3893  Ord word 4459  Lim wlim 4461

This theorem depends on definitions:  df-ilim 4466

This theorem is referenced by:  limeq  4474  nlim0  4491  limord  4492  limuni  4493  0ellim  4495  limon  4611  limom  4712