Theorem dflim2 4473

Description: Alias for df-ilim 4472. Use it instead of df-ilim 4472 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 4472	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 1005   = wceq 1398   ∈ wcel 2202  ∅c0 3496  ∪ cuni 3898  Ord word 4465  Lim wlim 4467

This theorem depends on definitions:  df-ilim 4472

This theorem is referenced by:  limeq  4480  nlim0  4497  limord  4498  limuni  4499  0ellim  4501  limon  4617  limom  4718