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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 6174 | . 2 ⊢ (𝐴 ∈ On → (𝐴 ∈ On ↔ Ord 𝐴)) | |
2 | 1 | ibi 270 | 1 ⊢ (𝐴 ∈ On → Ord 𝐴) |
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