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Mirrors > Home > ILE Home > Th. List > stbid | Unicode version |
Description: The equivalent of a stable proposition is stable. (Contributed by Jim Kingdon, 12-Aug-2022.) |
Ref | Expression |
---|---|
stbid.1 |
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Ref | Expression |
---|---|
stbid |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | stbid.1 |
. . . . 5
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2 | 1 | notbid 657 |
. . . 4
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3 | 2 | notbid 657 |
. . 3
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4 | 3, 1 | imbi12d 233 |
. 2
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5 | df-stab 817 |
. 2
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6 | df-stab 817 |
. 2
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7 | 4, 5, 6 | 3bitr4g 222 |
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 depends on definitions: df-bi 116 df-stab 817 |
This theorem is referenced by: dfss4st 3314 exmid1stab 13368 |
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