Theorem dflim2 4371

Description: Alias for df-ilim 4370. Use it instead of df-ilim 4370 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 4370	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 978   = wceq 1353   ∈ wcel 2148  ∅c0 3423  ∪ cuni 3810  Ord word 4363  Lim wlim 4365

This theorem depends on definitions:  df-ilim 4370

This theorem is referenced by:  limeq  4378  nlim0  4395  limord  4396  limuni  4397  0ellim  4399  limon  4513  limom  4614