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Mirrors > Home > ILE Home > Th. List > reseq2i | Unicode version |
Description: Equality inference for restrictions. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
reseqi.1 |
Ref | Expression |
---|---|
reseq2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reseqi.1 | . 2 | |
2 | reseq2 4814 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 cres 4541 |
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 2121 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-v 2688 df-in 3077 df-opab 3990 df-xp 4545 df-res 4551 |
This theorem is referenced by: reseq12i 4817 rescom 4844 resdmdfsn 4862 rescnvcnv 5001 resdm2 5029 funcnvres 5196 funimaexg 5207 resdif 5389 frecfnom 6298 facnn 10473 fac0 10474 expcnv 11273 setsslid 12009 uptx 12443 txcn 12444 |
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