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Mirrors > Home > ILE Home > Th. List > dflim2 | GIF version |
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.) |
Ref | Expression |
---|---|
dflim2 | ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ilim 4163 | 1 ⊢ (Lim 𝐴 ↔ (Ord 𝐴 ∧ ∅ ∈ 𝐴 ∧ 𝐴 = ∪ 𝐴)) |
Colors of variables: wff set class |
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 |
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