Theorem dflim2 4348

Description: Alias for df-ilim 4347. Use it instead of df-ilim 4347 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 4347	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 104   ∧ w3a 968   = wceq 1343   ∈ wcel 2136  ∅c0 3409  ∪ cuni 3789  Ord word 4340  Lim wlim 4342

This theorem depends on definitions:  df-ilim 4347

This theorem is referenced by:  limeq  4355  nlim0  4372  limord  4373  limuni  4374  0ellim  4376  limon  4490  limom  4591