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Mirrors > Home > ILE Home > Th. List > reu5 | Unicode version |
Description: Restricted uniqueness in terms of "at most one". (Contributed by NM, 23-May-1999.) (Revised by NM, 16-Jun-2017.) |
Ref | Expression |
---|---|
reu5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eu5 2066 | . 2 | |
2 | df-reu 2455 | . 2 | |
3 | df-rex 2454 | . . 3 | |
4 | df-rmo 2456 | . . 3 | |
5 | 3, 4 | anbi12i 457 | . 2 |
6 | 1, 2, 5 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wex 1485 weu 2019 wmo 2020 wcel 2141 wrex 2449 wreu 2450 wrmo 2451 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-eu 2022 df-mo 2023 df-rex 2454 df-reu 2455 df-rmo 2456 |
This theorem is referenced by: reurex 2683 reurmo 2684 reu4 2924 reueq 2929 reusv1 4441 fncnv 5262 moriotass 5835 supeuti 6969 infeuti 7004 lteupri 7572 elrealeu 7784 rereceu 7844 exbtwnz 10200 rersqreu 10985 divalglemeunn 11873 divalglemeuneg 11875 bezoutlemeu 11955 pw2dvdseu 12115 ismgmid 12624 mndideu 12655 dedekindeu 13360 dedekindicclemicc 13369 |
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