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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdreu | Unicode version |
Description: Boundedness of
existential uniqueness.
Remark regarding restricted quantifiers: the formula |
Ref | Expression |
---|---|
bdreu.1 |
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Ref | Expression |
---|---|
bdreu |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdreu.1 |
. . . 4
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2 | 1 | ax-bdex 14193 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() |
3 | ax-bdeq 14194 |
. . . . . 6
![]() ![]() ![]() ![]() | |
4 | 1, 3 | ax-bdim 14188 |
. . . . 5
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5 | 4 | ax-bdal 14192 |
. . . 4
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6 | 5 | ax-bdex 14193 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | 2, 6 | ax-bdan 14189 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | reu3 2927 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | 7, 8 | bd0r 14199 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 ax-bd0 14187 ax-bdim 14188 ax-bdan 14189 ax-bdal 14192 ax-bdex 14193 ax-bdeq 14194 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-cleq 2170 df-clel 2173 df-ral 2460 df-rex 2461 df-reu 2462 df-rmo 2463 |
This theorem is referenced by: bdrmo 14230 |
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