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| Mirrors > Home > MPE Home > Th. List > eloni | Structured version Visualization version GIF version | ||
| Description: An ordinal number has the ordinal property. (Contributed by NM, 5-Jun-1994.) |
| Ref | Expression |
|---|---|
| eloni | ⊢ (𝐴 ∈ On → Ord 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | elong 6392 | . 2 ⊢ (𝐴 ∈ On → (𝐴 ∈ On ↔ Ord 𝐴)) | |
| 2 | 1 | ibi 267 | 1 ⊢ (𝐴 ∈ On → Ord 𝐴) |
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