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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 2307 |
. 2
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2 | vex 2554 |
. . . 4
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3 | 2 | biantrur 287 |
. . 3
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4 | 3 | eubii 1906 |
. 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 1333 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-tru 1245 df-nf 1347 df-sb 1643 df-eu 1900 df-clab 2024 df-cleq 2030 df-clel 2033 df-reu 2307 df-v 2553 |
This theorem is referenced by: euen1 6218 |
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