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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 |
Ref | Expression |
---|---|
reseq1i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reseqi.1 | . 2 | |
2 | reseq1 4813 | . 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-res 4551 |
This theorem is referenced by: reseq12i 4817 resindm 4861 resmpt 4867 resmpt3 4868 resmptf 4869 opabresid 4872 rescnvcnv 5001 coires1 5056 fcoi1 5303 fvsnun1 5617 fvsnun2 5618 resoprab 5867 resmpo 5869 ofmres 6034 f1stres 6057 f2ndres 6058 df1st2 6116 df2nd2 6117 dftpos2 6158 tfr2a 6218 freccllem 6299 frecfcllem 6301 frecsuclem 6303 djuf1olemr 6939 divfnzn 9413 cnmptid 12450 xmsxmet2 12632 msmet2 12633 |
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