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Mirrors > Home > ILE Home > Th. List > xornbi | Unicode version |
Description: A consequence of exclusive or. For decidable propositions this is an equivalence, as seen at xornbidc 1370. (Contributed by Jim Kingdon, 10-Mar-2018.) |
Ref | Expression |
---|---|
xornbi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xorbin 1363 |
. 2
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2 | pm5.18im 1364 |
. . 3
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3 | 2 | con2i 617 |
. 2
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4 | 1, 3 | syl 14 |
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: (None) |
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