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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 1270 |
. 2
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3 | xorbi12d.2 |
. . 3
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4 | 3 | xorbi2d 1269 |
. 2
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5 | 2, 4 | bitrd 177 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-io 629 |
This theorem depends on definitions: df-bi 110 df-xor 1266 |
This theorem is referenced by: anxordi 1288 rpnegap 8390 |
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