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Mirrors > Home > ILE Home > Th. List > rgen3 | Unicode version |
Description: Generalization rule for restricted quantification. (Contributed by NM, 12-Jan-2008.) |
Ref | Expression |
---|---|
rgen3.1 |
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Ref | Expression |
---|---|
rgen3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rgen3.1 |
. . . 4
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2 | 1 | 3expa 1182 |
. . 3
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3 | 2 | ralrimiva 2508 |
. 2
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4 | 3 | rgen2 2521 |
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-3an 965 df-nf 1438 df-ral 2422 |
This theorem is referenced by: reg3exmidlemwe 4501 ltsopr 7428 ltsosr 7596 ltso 7866 xrltso 9612 addcncntoplem 12759 |
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