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Mirrors > Home > ILE Home > Th. List > ineq12 | Unicode version |
Description: Equality theorem for intersection of two classes. (Contributed by NM, 8-May-1994.) |
Ref | Expression |
---|---|
ineq12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ineq1 3311 | . 2 | |
2 | ineq2 3312 | . 2 | |
3 | 1, 2 | sylan9eq 2217 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1342 cin 3110 |
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 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-v 2723 df-in 3117 |
This theorem is referenced by: ineq12i 3316 ineq12d 3319 ineqan12d 3320 fnun 5288 endisj 6781 sbthlemi8 6920 pm54.43 7137 epttop 12637 restbasg 12715 txbas 12805 bj-inex 13630 |
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