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Mirrors > Home > ILE Home > Th. List > rexeq | Unicode version |
Description: Equality theorem for restricted existential quantifier. (Contributed by NM, 29-Oct-1995.) |
Ref | Expression |
---|---|
rexeq |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2281 | . 2 | |
2 | nfcv 2281 | . 2 | |
3 | 1, 2 | rexeqf 2623 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1331 wrex 2417 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 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-tru 1334 df-nf 1437 df-sb 1736 df-cleq 2132 df-clel 2135 df-nfc 2270 df-rex 2422 |
This theorem is referenced by: rexeqi 2631 rexeqdv 2633 rexeqbi1dv 2635 unieq 3745 bnd2 4097 exss 4149 qseq1 6477 finexdc 6796 supeq1 6873 isomni 7008 ismkv 7027 sup3exmid 8715 exmidunben 11939 neifval 12309 cnprcl2k 12375 bj-nn0sucALT 13176 strcoll2 13181 sscoll2 13186 |
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