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Mirrors > Home > NFE Home > Th. List > xorbi12d | Unicode version |
Description: Equality property for XOR. (Contributed by Mario Carneiro, 4-Sep-2016.) |
Ref | Expression |
---|---|
xor12d.1 |
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xor12d.2 |
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Ref | Expression |
---|---|
xorbi12d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xor12d.1 |
. . . 4
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2 | xor12d.2 |
. . . 4
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3 | 1, 2 | bibi12d 312 |
. . 3
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4 | 3 | notbid 285 |
. 2
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5 | df-xor 1305 |
. 2
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6 | df-xor 1305 |
. 2
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7 | 4, 5, 6 | 3bitr4g 279 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-xor 1305 |
This theorem is referenced by: hadbi123d 1382 cadbi123d 1383 |
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