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Mirrors > Home > ILE Home > Th. List > ralbida | Unicode version |
Description: Formula-building rule for restricted universal quantifier (deduction form). (Contributed by NM, 6-Oct-2003.) |
Ref | Expression |
---|---|
ralbida.1 |
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ralbida.2 |
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Ref | Expression |
---|---|
ralbida |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralbida.1 |
. . 3
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2 | ralbida.2 |
. . . 4
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3 | 2 | pm5.74da 443 |
. . 3
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4 | 1, 3 | albid 1615 |
. 2
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5 | df-ral 2460 |
. 2
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6 | df-ral 2460 |
. 2
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7 | 4, 5, 6 | 3bitr4g 223 |
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 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-4 1510 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-ral 2460 |
This theorem is referenced by: ralbidva 2473 ralbid 2475 2ralbida 2498 ralbi 2609 ismkvnex 7146 caucvgsrlemgt1 7772 iswomninnlem 14420 |
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