Theorem dflim2 4424

Description: Alias for df-ilim 4423. Use it instead of df-ilim 4423 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 4423	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 981   = wceq 1373   ∈ wcel 2177  ∅c0 3464  ∪ cuni 3855  Ord word 4416  Lim wlim 4418

This theorem depends on definitions:  df-ilim 4423

This theorem is referenced by:  limeq  4431  nlim0  4448  limord  4449  limuni  4450  0ellim  4452  limon  4568  limom  4669