Theorem dflim2 4460

Description: Alias for df-ilim 4459. Use it instead of df-ilim 4459 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 4459	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 1002   = wceq 1395   ∈ wcel 2200  ∅c0 3491  ∪ cuni 3887  Ord word 4452  Lim wlim 4454

This theorem depends on definitions:  df-ilim 4459

This theorem is referenced by:  limeq  4467  nlim0  4484  limord  4485  limuni  4486  0ellim  4488  limon  4604  limom  4705