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Mirrors > Home > ILE Home > Th. List > xorcom | Unicode version |
Description: is commutative. (Contributed by David A. Wheeler, 6-Oct-2018.) |
Ref | Expression |
---|---|
xorcom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orcom 718 | . . 3 | |
2 | ancom 264 | . . . 4 | |
3 | 2 | notbii 658 | . . 3 |
4 | 1, 3 | anbi12i 456 | . 2 |
5 | df-xor 1358 | . 2 | |
6 | df-xor 1358 | . 2 | |
7 | 4, 5, 6 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wa 103 wb 104 wo 698 wxo 1357 |
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 1358 |
This theorem is referenced by: rpnegap 9599 |
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