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Mirrors > Home > ILE Home > Th. List > dford3 | GIF version |
Description: Alias for df-iord 4258. Use it instead of df-iord 4258 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 4258 | 1 ⊢ (Ord 𝐴 ↔ (Tr 𝐴 ∧ ∀𝑥 ∈ 𝐴 Tr 𝑥)) |
Colors of variables: wff set class |
Syntax hints: ∧ wa 103 ↔ wb 104 ∀wral 2393 Tr wtr 3996 Ord word 4254 |
This theorem depends on definitions: df-iord 4258 |
This theorem is referenced by: ordeq 4264 ordtr 4270 trssord 4272 ordelord 4273 ord0 4283 ordon 4372 ordsucim 4386 onintonm 4403 ordom 4490 exmidonfinlem 7017 bj-nnord 13083 bj-omord 13085 |
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