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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 1312 | . 2 |
3 | xorbi12d.2 | . . 3 | |
4 | 3 | xorbi2d 1311 | . 2 |
5 | 2, 4 | bitrd 186 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wxo 1306 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-xor 1307 |
This theorem is referenced by: xorbi12i 1314 anxordi 1331 rpnegap 8766 |
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