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Mirrors > Home > ILE Home > Th. List > xorbi12i | Unicode version |
Description: Equality property for XOR. (Contributed by Mario Carneiro, 4-Sep-2016.) |
Ref | Expression |
---|---|
xorbi12.1 |
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xorbi12.2 |
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Ref | Expression |
---|---|
xorbi12i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xorbi12.1 |
. . . 4
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2 | 1 | a1i 9 |
. . 3
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3 | xorbi12.2 |
. . . 4
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4 | 3 | a1i 9 |
. . 3
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5 | 2, 4 | xorbi12d 1382 |
. 2
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6 | 5 | mptru 1362 |
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 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-xor 1376 |
This theorem is referenced by: (None) |
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