Theorem dflim2 4496

Description: Alias for df-ilim 4495. Use it instead of df-ilim 4495 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 4495	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 1005   = wceq 1398   ∈ wcel 2205  ∅c0 3512  ∪ cuni 3919  Ord word 4488  Lim wlim 4490

This theorem depends on definitions:  df-ilim 4495

This theorem is referenced by:  limeq  4503  nlim0  4520  limord  4521  limuni  4522  0ellim  4524  limon  4640  limom  4741