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Mirrors > Home > ILE Home > Th. List > reseq1i | Unicode version |
Description: Equality inference for restrictions. (Contributed by NM, 21-Oct-2014.) |
Ref | Expression |
---|---|
reseqi.1 |
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Ref | Expression |
---|---|
reseq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reseqi.1 |
. 2
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2 | reseq1 4821 |
. 2
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3 | 1, 2 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
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 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-v 2691 df-in 3082 df-res 4559 |
This theorem is referenced by: reseq12i 4825 resindm 4869 resmpt 4875 resmpt3 4876 resmptf 4877 opabresid 4880 rescnvcnv 5009 coires1 5064 fcoi1 5311 fvsnun1 5625 fvsnun2 5626 resoprab 5875 resmpo 5877 ofmres 6042 f1stres 6065 f2ndres 6066 df1st2 6124 df2nd2 6125 dftpos2 6166 tfr2a 6226 freccllem 6307 frecfcllem 6309 frecsuclem 6311 djuf1olemr 6947 divfnzn 9440 cnmptid 12489 xmsxmet2 12671 msmet2 12672 |
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