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Mirrors > Home > ILE Home > Th. List > dflim2 | GIF version |
Description: Alias for df-ilim 4124. Use it instead of df-ilim 4124 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 4124 | 1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴)) |
Colors of variables: wff set class |
Syntax hints: ↔ wb 103 ∧ w3a 919 = wceq 1284 ∈ wcel 1433 ∅c0 3251 ∪ cuni 3601 Ord word 4117 Lim wlim 4119 |
This theorem depends on definitions: df-ilim 4124 |
This theorem is referenced by: limeq 4132 nlim0 4149 limord 4150 limuni 4151 0ellim 4153 limon 4257 limom 4354 |
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