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Mirrors > Home > ILE Home > Th. List > xorbi12d | Unicode version |
Description: Deduction joining two equivalences to form equivalence of exclusive-or. (Contributed by Jim Kingdon, 7-Oct-2018.) |
Ref | Expression |
---|---|
xorbi12d.1 |
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xorbi12d.2 |
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Ref | Expression |
---|---|
xorbi12d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xorbi12d.1 |
. . 3
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2 | 1 | xorbi1d 1360 |
. 2
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3 | xorbi12d.2 |
. . 3
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4 | 3 | xorbi2d 1359 |
. 2
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5 | 2, 4 | bitrd 187 |
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 ax-in1 604 ax-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 df-xor 1355 |
This theorem is referenced by: xorbi12i 1362 anxordi 1379 rpnegap 9503 |
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