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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdnth | Unicode version |
Description: A falsity is a bounded formula. (Contributed by BJ, 6-Oct-2019.) |
Ref | Expression |
---|---|
bdnth.1 |
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Ref | Expression |
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bdnth |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdfal 13202 |
. 2
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2 | fal 1339 |
. . 3
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3 | bdnth.1 |
. . 3
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4 | 2, 3 | 2false 691 |
. 2
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5 | 1, 4 | bd0 13193 |
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 ax-bd0 13182 ax-bdim 13183 ax-bdn 13186 ax-bdeq 13189 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-fal 1338 |
This theorem is referenced by: bdcnul 13234 |
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