Theorem dflim2 4405

Description: Alias for df-ilim 4404. Use it instead of df-ilim 4404 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 4404	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 105   ∧ w3a 980   = wceq 1364   ∈ wcel 2167  ∅c0 3450  ∪ cuni 3839  Ord word 4397  Lim wlim 4399

This theorem depends on definitions:  df-ilim 4404

This theorem is referenced by:  limeq  4412  nlim0  4429  limord  4430  limuni  4431  0ellim  4433  limon  4549  limom  4650