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Mirrors > Home > ILE Home > Th. List > cnveqd | Unicode version |
Description: Equality deduction for converse. (Contributed by NM, 6-Dec-2013.) |
Ref | Expression |
---|---|
cnveqd.1 |
Ref | Expression |
---|---|
cnveqd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnveqd.1 | . 2 | |
2 | cnveq 4509 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1243 ccnv 4344 |
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-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-in 2924 df-ss 2931 df-br 3765 df-opab 3819 df-cnv 4353 |
This theorem is referenced by: cnvsng 4806 cores2 4833 suppssof1 5728 2ndval2 5783 2nd1st 5806 cnvf1olem 5845 brtpos2 5866 dftpos4 5878 tpostpos 5879 tposf12 5884 xpcomco 6300 |
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