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Mirrors > Home > ILE Home > Th. List > dflim2 | GIF version |
Description: Alias for df-ilim 4299. Use it instead of df-ilim 4299 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 4299 | 1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴)) |
Colors of variables: wff set class |
Syntax hints: ↔ wb 104 ∧ w3a 963 = wceq 1332 ∈ wcel 1481 ∅c0 3368 ∪ cuni 3744 Ord word 4292 Lim wlim 4294 |
This theorem depends on definitions: df-ilim 4299 |
This theorem is referenced by: limeq 4307 nlim0 4324 limord 4325 limuni 4326 0ellim 4328 limon 4437 limom 4535 |
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