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Mirrors > Home > ILE Home > Th. List > 3or6 | Unicode version |
Description: Analog of or4 761 for triple conjunction. (Contributed by Scott Fenton, 16-Mar-2011.) |
Ref | Expression |
---|---|
3or6 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | or4 761 |
. . 3
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2 | or4 761 |
. . . 4
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3 | 2 | orbi1i 753 |
. . 3
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4 | 1, 3 | bitr2i 184 |
. 2
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5 | df-3or 964 |
. 2
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6 | df-3or 964 |
. . 3
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7 | df-3or 964 |
. . 3
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8 | 6, 7 | orbi12i 754 |
. 2
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9 | 4, 5, 8 | 3bitr4i 211 |
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-io 699 |
This theorem depends on definitions: df-bi 116 df-3or 964 |
This theorem is referenced by: (None) |
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