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Mirrors > Home > ILE Home > Th. List > ceqsexgv | Unicode version |
Description: Elimination of an existential quantifier, using implicit substitution. (Contributed by NM, 29-Dec-1996.) |
Ref | Expression |
---|---|
ceqsexgv.1 |
Ref | Expression |
---|---|
ceqsexgv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1421 | . 2 | |
2 | ceqsexgv.1 | . 2 | |
3 | 1, 2 | ceqsexg 2672 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wceq 1243 wex 1381 wcel 1393 |
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-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 |
This theorem is referenced by: ceqsrexv 2674 clel3g 2678 elxp4 4808 elxp5 4809 dmfco 5241 fndmdif 5272 fndmin 5274 fmptco 5330 rexrnmpt2 5616 brtpos2 5866 xpsnen 6295 prarloc 6601 |
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