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Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-ofld | Structured version Visualization version GIF version |
Description: Define class of all ordered fields. An ordered field is a field with a total ordering compatible with its operations. (Contributed by Thierry Arnoux, 18-Jan-2018.) |
Ref | Expression |
---|---|
df-ofld | ⊢ oField = (Field ∩ oRing) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cofld 32414 | . 2 class oField | |
2 | cfield 20358 | . . 3 class Field | |
3 | corng 32413 | . . 3 class oRing | |
4 | 2, 3 | cin 3948 | . 2 class (Field ∩ oRing) |
5 | 1, 4 | wceq 1542 | 1 wff oField = (Field ∩ oRing) |
Colors of variables: wff setvar class |
This definition is referenced by: isofld 32420 |
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