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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 1381 |
. 2
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3 | xorbi12d.2 |
. . 3
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4 | 3 | xorbi2d 1380 |
. 2
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5 | 2, 4 | bitrd 188 |
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-xor 1376 |
This theorem is referenced by: xorbi12i 1383 anxordi 1400 rpnegap 9682 |
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