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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 2258 | . 2 | |
2 | nfcv 2258 | . 2 | |
3 | 1, 2 | rexeqf 2600 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1316 wrex 2394 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 |
This theorem is referenced by: rexeqi 2608 rexeqdv 2610 rexeqbi1dv 2612 unieq 3715 bnd2 4067 exss 4119 qseq1 6445 finexdc 6764 supeq1 6841 isomni 6976 ismkv 6995 sup3exmid 8683 exmidunben 11866 neifval 12236 cnprcl2k 12302 bj-nn0sucALT 13103 strcoll2 13108 sscoll2 13113 |
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