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Mirrors > Home > ILE Home > Th. List > rmo2ilem | Unicode version |
Description: Condition implying restricted "at most one." (Contributed by Jim Kingdon, 14-Jul-2018.) |
Ref | Expression |
---|---|
rmo2.1 |
Ref | Expression |
---|---|
rmo2ilem |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | impexp 250 | . . . . 5 | |
2 | 1 | albii 1359 | . . . 4 |
3 | df-ral 2311 | . . . 4 | |
4 | 2, 3 | bitr4i 176 | . . 3 |
5 | 4 | exbii 1496 | . 2 |
6 | nfv 1421 | . . . . 5 | |
7 | rmo2.1 | . . . . 5 | |
8 | 6, 7 | nfan 1457 | . . . 4 |
9 | 8 | mo2r 1952 | . . 3 |
10 | df-rmo 2314 | . . 3 | |
11 | 9, 10 | sylibr 137 | . 2 |
12 | 5, 11 | sylbir 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wceq 1243 wnf 1349 wex 1381 wcel 1393 wmo 1901 wral 2306 wrmo 2309 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-eu 1903 df-mo 1904 df-ral 2311 df-rmo 2314 |
This theorem is referenced by: rmo2i 2848 |
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