Theorem dflim2 4125

Description: Alias for df-ilim 4124. Use it instead of df-ilim 4124 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 4124	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 103   ∧ w3a 919   = wceq 1284   ∈ wcel 1433  ∅c0 3251  ∪ cuni 3601  Ord word 4117  Lim wlim 4119

This theorem depends on definitions:  df-ilim 4124

This theorem is referenced by:  limeq  4132  nlim0  4149  limord  4150  limuni  4151  0ellim  4153  limon  4257  limom  4354