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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 |
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Ref | Expression |
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rgen2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rgen2.1 |
. . 3
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2 | 1 | ralrimiva 2508 |
. 2
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3 | 2 | rgen 2488 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
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 1424 ax-gen 1426 ax-4 1488 ax-17 1507 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-ral 2422 |
This theorem is referenced by: rgen3 2522 f1stres 6065 f2ndres 6066 exmidonfinlem 7066 divfnzn 9440 txuni2 12464 divcnap 12763 abscncf 12780 recncf 12781 imcncf 12782 cjcncf 12783 reefiso 12906 ioocosf1o 12983 |
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