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Mirrors > Home > ILE Home > Th. List > releq | Unicode version |
Description: Equality theorem for the relation predicate. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
releq |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseq1 3120 | . 2 | |
2 | df-rel 4546 | . 2 | |
3 | df-rel 4546 | . 2 | |
4 | 1, 2, 3 | 3bitr4g 222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1331 cvv 2686 wss 3071 cxp 4537 wrel 4544 |
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-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 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-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-in 3077 df-ss 3084 df-rel 4546 |
This theorem is referenced by: releqi 4622 releqd 4623 dfrel2 4989 tposfn2 6163 ereq1 6436 |
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