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Mirrors > Home > MPE Home > Th. List > xorbi12d | Unicode version |
Description: Equality property for XOR. (Contributed by Mario Carneiro, 4-Sep-2016.) |
Ref | Expression |
---|---|
xor12d.1 | |
xor12d.2 |
Ref | Expression |
---|---|
xorbi12d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xor12d.1 | . . . 4 | |
2 | xor12d.2 | . . . 4 | |
3 | 1, 2 | bibi12d 321 | . . 3 |
4 | 3 | notbid 294 | . 2 |
5 | df-xor 1364 | . 2 | |
6 | df-xor 1364 | . 2 | |
7 | 4, 5, 6 | 3bitr4g 288 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4
<-> wb 184 \/_ wxo 1363 |
This theorem is referenced by: hadbi123d 1449 cadbi123d 1450 |
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 185 df-xor 1364 |
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