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Mirrors > Home > ILE Home > Th. List > rgen2 | Unicode version |
Description: Generalization rule for restricted quantification. (Contributed by NM, 30-May-1999.) |
Ref | Expression |
---|---|
rgen2.1 |
Ref | Expression |
---|---|
rgen2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rgen2.1 | . . 3 | |
2 | 1 | ralrimiva 2482 | . 2 |
3 | 2 | rgen 2462 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wcel 1465 wral 2393 |
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 1408 ax-gen 1410 ax-4 1472 ax-17 1491 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-ral 2398 |
This theorem is referenced by: rgen3 2496 f1stres 6025 f2ndres 6026 exmidonfinlem 7017 divfnzn 9381 txuni2 12352 divcnap 12651 abscncf 12668 recncf 12669 imcncf 12670 cjcncf 12671 |
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