Theorem dflim2 4164

Description: Alias for df-ilim 4163. Use it instead of df-ilim 4163 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 4163	1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴))

Syntax hints:   ↔ wb 103   ∧ w3a 922   = wceq 1287   ∈ wcel 1436  ∅c0 3272  ∪ cuni 3630  Ord word 4156  Lim wlim 4158

This theorem depends on definitions:  df-ilim 4163

This theorem is referenced by:  limeq  4171  nlim0  4188  limord  4189  limuni  4190  0ellim  4192  limon  4296  limom  4394