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Mirrors > Home > ILE Home > Th. List > const | Unicode version |
Description: Contraposition of a stable proposition. See comment of condc 839. (Contributed by BJ, 18-Nov-2023.) |
Ref | Expression |
---|---|
const |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-stab 817 |
. 2
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2 | con3 632 |
. . 3
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3 | notnot 619 |
. . . 4
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4 | imim2 55 |
. . . 4
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5 | 3, 4 | syl7 69 |
. . 3
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6 | 2, 5 | syl5 32 |
. 2
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7 | 1, 6 | sylbi 120 |
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-in1 604 ax-in2 605 |
This theorem depends on definitions: df-bi 116 df-stab 817 |
This theorem is referenced by: condc 839 |
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