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Mirrors > Home > ILE Home > Th. List > omnimkv | Unicode version |
Description: An omniscient set is
Markov. In particular, the case where ![]() ![]() |
Ref | Expression |
---|---|
omnimkv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | isomni 7127 |
. . . 4
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2 | 1 | ibi 176 |
. . 3
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3 | pm2.53 722 |
. . . . . . 7
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4 | 3 | orcoms 730 |
. . . . . 6
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5 | 4 | a1i 9 |
. . . . 5
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6 | 5 | imim2d 54 |
. . . 4
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7 | 6 | alimdv 1879 |
. . 3
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8 | 2, 7 | mpd 13 |
. 2
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9 | ismkv 7144 |
. 2
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10 | 8, 9 | mpbird 167 |
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-in1 614 ax-in2 615 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-v 2739 df-fn 5214 df-f 5215 df-omni 7126 df-markov 7143 |
This theorem is referenced by: exmidmp 7148 |
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