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Mirrors > Home > ILE Home > Th. List > ralbiim | Unicode version |
Description: Split a biconditional and distribute quantifier. (Contributed by NM, 3-Jun-2012.) |
Ref | Expression |
---|---|
ralbiim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfbi2 386 |
. . 3
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2 | 1 | ralbii 2444 |
. 2
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3 | r19.26 2561 |
. 2
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4 | 2, 3 | bitri 183 |
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-tru 1335 df-nf 1438 df-ral 2422 |
This theorem is referenced by: eqreu 2880 |
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