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Mirrors > Home > ILE Home > Th. List > 3bitrri | Unicode version |
Description: A chained inference from transitive law for logical equivalence. (Contributed by NM, 4-Aug-2006.) |
Ref | Expression |
---|---|
3bitri.1 |
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3bitri.2 |
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3bitri.3 |
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Ref | Expression |
---|---|
3bitrri |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3bitri.3 |
. 2
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2 | 3bitri.1 |
. . 3
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3 | 3bitri.2 |
. . 3
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4 | 2, 3 | bitr2i 174 |
. 2
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5 | 1, 4 | bitr3i 175 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: reu8 2731 unass 3094 ssin 3153 difab 3200 iunss 3689 poirr 4035 cnvuni 4464 dfco2 4763 dff1o6 5359 elznn0 8036 bj-ssom 9395 |
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