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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-nnan | Unicode version |
Description: The double negation of a conjunction implies the conjunction of the double negations. (Contributed by BJ, 24-Nov-2023.) |
Ref | Expression |
---|---|
bj-nnan |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl 108 |
. . . 4
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2 | 1 | con3i 622 |
. . 3
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3 | 2 | con3i 622 |
. 2
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4 | simpr 109 |
. . . 4
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5 | 4 | con3i 622 |
. . 3
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6 | 5 | con3i 622 |
. 2
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7 | 3, 6 | jca 304 |
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-in1 604 ax-in2 605 |
This theorem is referenced by: bj-stan 13126 bj-stand 13127 |
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