Theorem dflim2 4491

Description: Alias for df-ilim 4490. Use it instead of df-ilim 4490 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 4490	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 1005   = wceq 1398   ∈ wcel 2203  ∅c0 3508  ∪ cuni 3914  Ord word 4483  Lim wlim 4485

This theorem depends on definitions:  df-ilim 4490

This theorem is referenced by:  limeq  4498  nlim0  4515  limord  4516  limuni  4517  0ellim  4519  limon  4635  limom  4736