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Mirrors > Home > ILE Home > Th. List > tbt | Unicode version |
Description: A wff is equivalent to its equivalence with truth. (Contributed by NM, 18-Aug-1993.) (Proof shortened by Andrew Salmon, 13-May-2011.) |
Ref | Expression |
---|---|
tbt.1 |
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Ref | Expression |
---|---|
tbt |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tbt.1 |
. 2
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2 | ibibr 245 |
. . 3
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3 | 2 | pm5.74ri 180 |
. 2
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4 | 1, 3 | ax-mp 5 |
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 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: tbtru 1342 exists1 2096 reu6 2877 eqv 3387 vnex 4067 bj-vprc 13265 |
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