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Mirrors > Home > MPE Home > Th. List > brsymdif | Structured version Visualization version Unicode version |
Description: The binary relationship of a symmetric difference. (Contributed by Scott Fenton, 11-Apr-2012.) |
Ref | Expression |
---|---|
brsymdif |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-br 4396 |
. 2
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2 | elsymdif 3659 |
. . 3
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3 | df-br 4396 |
. . . 4
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4 | df-br 4396 |
. . . 4
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5 | 3, 4 | bibi12i 322 |
. . 3
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6 | 2, 5 | xchbinxr 318 |
. 2
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7 | 1, 6 | bitri 257 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1677 ax-4 1690 ax-5 1766 ax-6 1813 ax-7 1859 ax-10 1932 ax-11 1937 ax-12 1950 ax-13 2104 ax-ext 2451 |
This theorem depends on definitions: df-bi 190 df-or 377 df-an 378 df-tru 1455 df-ex 1672 df-nf 1676 df-sb 1806 df-clab 2458 df-cleq 2464 df-clel 2467 df-nfc 2601 df-v 3033 df-dif 3393 df-un 3395 df-symdif 3654 df-br 4396 |
This theorem is referenced by: brtxpsd 30732 |
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