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Mirrors > Home > ILE Home > Th. List > brun | Unicode version |
Description: The union of two binary relations. (Contributed by NM, 21-Dec-2008.) |
Ref | Expression |
---|---|
brun |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elun 3164 |
. 2
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2 | df-br 3876 |
. 2
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3 | df-br 3876 |
. . 3
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4 | df-br 3876 |
. . 3
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5 | 3, 4 | orbi12i 722 |
. 2
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6 | 1, 2, 5 | 3bitr4i 211 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 671 ax-5 1391 ax-7 1392 ax-gen 1393 ax-ie1 1437 ax-ie2 1438 ax-8 1450 ax-10 1451 ax-11 1452 ax-i12 1453 ax-bndl 1454 ax-4 1455 ax-17 1474 ax-i9 1478 ax-ial 1482 ax-i5r 1483 ax-ext 2082 |
This theorem depends on definitions: df-bi 116 df-tru 1302 df-nf 1405 df-sb 1704 df-clab 2087 df-cleq 2093 df-clel 2096 df-nfc 2229 df-v 2643 df-un 3025 df-br 3876 |
This theorem is referenced by: dmun 4684 qfto 4864 poleloe 4874 cnvun 4880 coundi 4976 coundir 4977 brdifun 6386 ltxrlt 7702 ltxr 9403 |
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