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Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > isofld | Structured version Unicode version |
Description: An ordered field is a field with a total ordering compatible with its operations. (Contributed by Thierry Arnoux, 23-Mar-2018.) |
Ref | Expression |
---|---|
isofld |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ofld 26397 |
. 2
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2 | 1 | elin2 3636 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1952 ax-ext 2430 |
This theorem depends on definitions: df-bi 185 df-an 371 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2599 df-v 3067 df-in 3430 df-ofld 26397 |
This theorem is referenced by: ofldfld 26409 ofldtos 26410 ofldlt1 26412 ofldchr 26413 subofld 26415 isarchiofld 26416 reofld 26439 nn0omnd 26440 |
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