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Mirrors > Home > ILE Home > Th. List > dflim2 | GIF version |
Description: Alias for df-ilim 4381. Use it instead of df-ilim 4381 for naming consistency with set.mm. (Contributed by NM, 4-Nov-2004.) |
Ref | Expression |
---|---|
dflim2 | ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ilim 4381 | 1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴)) |
Colors of variables: wff set class |
Syntax hints: ↔ wb 105 ∧ w3a 979 = wceq 1363 ∈ wcel 2158 ∅c0 3434 ∪ cuni 3821 Ord word 4374 Lim wlim 4376 |
This theorem depends on definitions: df-ilim 4381 |
This theorem is referenced by: limeq 4389 nlim0 4406 limord 4407 limuni 4408 0ellim 4410 limon 4524 limom 4625 |
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