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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 4561 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1243 crn 4346 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-un 2922 df-in 2924 df-ss 2931 df-sn 3381 df-pr 3382 df-op 3384 df-br 3765 df-opab 3819 df-cnv 4353 df-dm 4355 df-rn 4356 |
This theorem is referenced by: resima2 4644 imaeq1 4663 imaeq2 4664 resiima 4683 elxp4 4808 elxp5 4809 funimacnv 4975 funimaexg 4983 fnima 5017 fnrnfv 5220 2ndvalg 5770 fo2nd 5785 f2ndres 5787 en1 6279 xpassen 6304 xpdom2 6305 iseqeq1 9214 iseqeq2 9215 iseqeq3 9216 iseqeq4 9217 iseqval 9220 |
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