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Mirrors > Home > ILE Home > Th. List > 3bitr3ri | Unicode version |
Description: A chained inference from transitive law for logical equivalence. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
3bitr3i.1 |
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3bitr3i.2 |
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3bitr3i.3 |
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Ref | Expression |
---|---|
3bitr3ri |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3bitr3i.3 |
. 2
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2 | 3bitr3i.1 |
. . 3
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3 | 3bitr3i.2 |
. . 3
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4 | 2, 3 | bitr3i 185 |
. 2
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5 | 1, 4 | bitr3i 185 |
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 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: bigolden 940 sb9 1955 sbcco 2934 dfiin2g 3854 dffun6f 5144 |
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