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Mirrors > Home > ILE Home > Th. List > elon | Unicode version |
Description: An ordinal number is an ordinal set. (Contributed by NM, 5-Jun-1994.) |
Ref | Expression |
---|---|
elon.1 |
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Ref | Expression |
---|---|
elon |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elon.1 |
. 2
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2 | elong 4394 |
. 2
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3 | 1, 2 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-ral 2473 df-rex 2474 df-v 2754 df-in 3150 df-ss 3157 df-uni 3828 df-tr 4120 df-iord 4387 df-on 4389 |
This theorem is referenced by: tron 4403 0elon 4413 ordtriexmidlem 4539 ontr2exmid 4545 ordtri2or2exmidlem 4546 onsucelsucexmidlem 4549 exmidonfinlem 7227 bj-omelon 15199 |
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