Theorem dflim2 4355

Description: Alias for df-ilim 4354. Use it instead of df-ilim 4354 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 4354	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 104   ∧ w3a 973   = wceq 1348   ∈ wcel 2141  ∅c0 3414  ∪ cuni 3796  Ord word 4347  Lim wlim 4349

This theorem depends on definitions:  df-ilim 4354

This theorem is referenced by:  limeq  4362  nlim0  4379  limord  4380  limuni  4381  0ellim  4383  limon  4497  limom  4598