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Mirrors > Home > ILE Home > Th. List > rexbida | Unicode version |
Description: Formula-building rule for restricted existential quantifier (deduction form). (Contributed by NM, 6-Oct-2003.) |
Ref | Expression |
---|---|
ralbida.1 | |
ralbida.2 |
Ref | Expression |
---|---|
rexbida |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralbida.1 | . . 3 | |
2 | ralbida.2 | . . . 4 | |
3 | 2 | pm5.32da 449 | . . 3 |
4 | 1, 3 | exbid 1609 | . 2 |
5 | df-rex 2454 | . 2 | |
6 | df-rex 2454 | . 2 | |
7 | 4, 5, 6 | 3bitr4g 222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wnf 1453 wex 1485 wcel 2141 wrex 2449 |
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-5 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-rex 2454 |
This theorem is referenced by: rexbidva 2467 rexbid 2469 rexbi 2603 dfiun2g 3903 fun11iun 5461 ismkvnex 7127 mkvprop 7130 |
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