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Mirrors > Home > ILE Home > Th. List > reseq2d | Unicode version |
Description: Equality deduction for restrictions. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
reseqd.1 |
Ref | Expression |
---|---|
reseq2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reseqd.1 | . 2 | |
2 | reseq2 4809 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 cres 4536 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-in 3072 df-opab 3985 df-xp 4540 df-res 4546 |
This theorem is referenced by: reseq12d 4815 resima2 4848 relresfld 5063 f1orescnv 5376 funcocnv2 5385 fococnv2 5386 fnressn 5599 oprssov 5905 dftpos2 6151 fnsnsplitdc 6394 dif1en 6766 sbthlemi4 6841 fseq1p1m1 9867 resunimafz0 10567 setsvala 11979 metreslem 12538 xmspropd 12635 mspropd 12636 |
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