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Mirrors > Home > NFE Home > Th. List > 3bitr4rd | Unicode version |
Description: Deduction from transitivity of biconditional. (Contributed by NM, 4-Aug-2006.) |
Ref | Expression |
---|---|
3bitr4d.1 |
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3bitr4d.2 |
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3bitr4d.3 |
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Ref | Expression |
---|---|
3bitr4rd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3bitr4d.3 |
. . 3
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2 | 3bitr4d.1 |
. . 3
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3 | 1, 2 | bitr4d 247 |
. 2
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4 | 3bitr4d.2 |
. 2
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5 | 3, 4 | bitr4d 247 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 |
This theorem is referenced by: (None) |
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