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Mirrors > Home > ILE Home > Th. List > dford3 | GIF version |
Description: Alias for df-iord 4338. Use it instead of df-iord 4338 for naming consistency with set.mm. (Contributed by Jim Kingdon, 10-Oct-2018.) |
Ref | Expression |
---|---|
dford3 | ⊢ (Ord 𝐴 ↔ (Tr 𝐴 ∧ ∀𝑥 ∈ 𝐴 Tr 𝑥)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-iord 4338 | 1 ⊢ (Ord 𝐴 ↔ (Tr 𝐴 ∧ ∀𝑥 ∈ 𝐴 Tr 𝑥)) |
Colors of variables: wff set class |
Syntax hints: ∧ wa 103 ↔ wb 104 ∀wral 2442 Tr wtr 4074 Ord word 4334 |
This theorem depends on definitions: df-iord 4338 |
This theorem is referenced by: ordeq 4344 ordtr 4350 trssord 4352 ordelord 4353 ord0 4363 ordon 4457 ordsucim 4471 onintonm 4488 ordom 4578 exmidonfinlem 7140 pw1on 7173 bj-nnord 13681 bj-omord 13683 |
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