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Mirrors > Home > ILE Home > Th. List > reuv | Unicode version |
Description: A uniqueness quantifier restricted to the universe is unrestricted. (Contributed by NM, 1-Nov-2010.) |
Ref | Expression |
---|---|
reuv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-reu 2313 |
. 2
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2 | vex 2560 |
. . . 4
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3 | 2 | biantrur 287 |
. . 3
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4 | 3 | eubii 1909 |
. 2
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5 | 1, 4 | bitr4i 176 |
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 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-eu 1903 df-clab 2027 df-cleq 2033 df-clel 2036 df-reu 2313 df-v 2559 |
This theorem is referenced by: euen1 6282 |
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