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Mirrors > Home > ILE Home > Th. List > unab | Unicode version |
Description: Union of two class abstractions. (Contributed by NM, 29-Sep-2002.) (Proof shortened by Andrew Salmon, 26-Jun-2011.) |
Ref | Expression |
---|---|
unab |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbor 1934 | . . 3 | |
2 | df-clab 2144 | . . 3 | |
3 | df-clab 2144 | . . . 4 | |
4 | df-clab 2144 | . . . 4 | |
5 | 3, 4 | orbi12i 754 | . . 3 |
6 | 1, 2, 5 | 3bitr4ri 212 | . 2 |
7 | 6 | uneqri 3249 | 1 |
Colors of variables: wff set class |
Syntax hints: wo 698 wceq 1335 wsb 1742 wcel 2128 cab 2143 cun 3100 |
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 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-v 2714 df-un 3106 |
This theorem is referenced by: unrab 3378 rabun2 3386 dfif6 3507 unopab 4043 dmun 4793 frecabex 6345 |
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