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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 | |
xorbi12d.2 |
Ref | Expression |
---|---|
xorbi12d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xorbi12d.1 | . . 3 | |
2 | 1 | xorbi1d 1376 | . 2 |
3 | xorbi12d.2 | . . 3 | |
4 | 3 | xorbi2d 1375 | . 2 |
5 | 2, 4 | bitrd 187 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wxo 1370 |
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 609 ax-in2 610 ax-io 704 |
This theorem depends on definitions: df-bi 116 df-xor 1371 |
This theorem is referenced by: xorbi12i 1378 anxordi 1395 rpnegap 9630 |
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