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Mirrors > Home > ILE Home > Th. List > rmoan | Unicode version |
Description: Restricted "at most one" still holds when a conjunct is added. (Contributed by NM, 16-Jun-2017.) |
Ref | Expression |
---|---|
rmoan |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moan 2018 |
. . 3
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2 | an12 529 |
. . . 4
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3 | 2 | mobii 1986 |
. . 3
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4 | 1, 3 | sylib 121 |
. 2
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5 | df-rmo 2368 |
. 2
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6 | df-rmo 2368 |
. 2
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7 | 4, 5, 6 | 3imtr4i 200 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 666 ax-5 1382 ax-7 1383 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-10 1442 ax-11 1443 ax-i12 1444 ax-bndl 1445 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-i5r 1474 |
This theorem depends on definitions: df-bi 116 df-tru 1293 df-nf 1396 df-sb 1694 df-eu 1952 df-mo 1953 df-rmo 2368 |
This theorem is referenced by: (None) |
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