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Mirrors > Home > ILE Home > Th. List > eusvobj1 | Unicode version |
Description: Specify the same object in two ways when class is single-valued. (Contributed by NM, 1-Nov-2010.) (Proof shortened by Mario Carneiro, 19-Nov-2016.) |
Ref | Expression |
---|---|
eusvobj1.1 |
Ref | Expression |
---|---|
eusvobj1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfeu1 1911 | . . 3 | |
2 | eusvobj1.1 | . . . 4 | |
3 | 2 | eusvobj2 5498 | . . 3 |
4 | 1, 3 | alrimi 1415 | . 2 |
5 | iotabi 4876 | . 2 | |
6 | 4, 5 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wal 1241 wceq 1243 wcel 1393 weu 1900 wral 2306 wrex 2307 cvv 2557 cio 4865 |
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 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-eu 1903 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 df-rex 2312 df-v 2559 df-sbc 2765 df-csb 2853 df-sn 3381 df-uni 3581 df-iota 4867 |
This theorem is referenced by: (None) |
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