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Mirrors > Home > ILE Home > Th. List > 2th | Unicode version |
Description: Two truths are equivalent. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
2th.1 |
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2th.2 |
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Ref | Expression |
---|---|
2th |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2th.2 |
. . 3
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2 | 1 | a1i 9 |
. 2
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3 | 2th.1 |
. . 3
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4 | 3 | a1i 9 |
. 2
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5 | 2, 4 | impbii 117 |
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-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: trujust 1245 dftru2 1251 bitru 1255 vjust 2558 pwv 3579 int0 3629 0iin 3715 snnex 4181 ruv 4274 fo1st 5784 fo2nd 5785 eqer 6138 ener 6259 bdth 9951 |
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