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Mirrors > Home > ILE Home > Th. List > rneqd | Unicode version |
Description: Equality deduction for range. (Contributed by NM, 4-Mar-2004.) |
Ref | Expression |
---|---|
rneqd.1 |
Ref | Expression |
---|---|
rneqd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rneqd.1 | . 2 | |
2 | rneq 4579 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1284 crn 4364 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-v 2603 df-un 2977 df-in 2979 df-ss 2986 df-sn 3404 df-pr 3405 df-op 3407 df-br 3786 df-opab 3840 df-cnv 4371 df-dm 4373 df-rn 4374 |
This theorem is referenced by: resima2 4662 imaeq1 4683 imaeq2 4684 resiima 4703 elxp4 4828 elxp5 4829 funimacnv 4995 funimaexg 5003 fnima 5037 fnrnfv 5241 2ndvalg 5790 fo2nd 5805 f2ndres 5807 en1 6302 xpassen 6327 xpdom2 6328 iseqeq1 9434 iseqeq2 9435 iseqeq3 9436 iseqeq4 9437 iseqval 9440 |
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