Theorem dflim2 4107

Description: Alias for df-ilim 4106. Use it instead of df-ilim 4106 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 4106	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 98   ∧ w3a 885   = wceq 1243   ∈ wcel 1393  ∅c0 3224  ∪ cuni 3580  Ord word 4099  Lim wlim 4101

This theorem depends on definitions:  df-ilim 4106

This theorem is referenced by:  limeq  4114  nlim0  4131  limord  4132  limuni  4133  0ellim  4135  limon  4239  limom  4336