Theorem dflim2 4292

Description: Alias for df-ilim 4291. Use it instead of df-ilim 4291 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 4291	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 104   ∧ w3a 962   = wceq 1331   ∈ wcel 1480  ∅c0 3363  ∪ cuni 3736  Ord word 4284  Lim wlim 4286

This theorem depends on definitions:  df-ilim 4291

This theorem is referenced by:  limeq  4299  nlim0  4316  limord  4317  limuni  4318  0ellim  4320  limon  4429  limom  4527