Theorem dflim2 4221

Description: Alias for df-ilim 4220. Use it instead of df-ilim 4220 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 4220	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 104   ∧ w3a 927   = wceq 1296   ∈ wcel 1445  ∅c0 3302  ∪ cuni 3675  Ord word 4213  Lim wlim 4215

This theorem depends on definitions:  df-ilim 4220

This theorem is referenced by:  limeq  4228  nlim0  4245  limord  4246  limuni  4247  0ellim  4249  limon  4358  limom  4456