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Mirrors > Home > ILE Home > Th. List > rexeqi | Unicode version |
Description: Equality inference for restricted existential qualifier. (Contributed by Mario Carneiro, 23-Apr-2015.) |
Ref | Expression |
---|---|
raleq1i.1 |
Ref | Expression |
---|---|
rexeqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | raleq1i.1 | . 2 | |
2 | rexeq 2660 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1342 wrex 2443 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-cleq 2157 df-clel 2160 df-nfc 2295 df-rex 2448 |
This theorem is referenced by: rexrab2 2888 rexprg 3622 rextpg 3624 rexxp 4742 rexrnmpo 5948 0ct 7063 arch 9102 zproddc 11506 infssuzex 11867 gcdsupex 11875 gcdsupcl 11876 dvdsprmpweqnn 12246 txbas 12805 |
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