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Mirrors > Home > ILE Home > Th. List > eupick | Unicode version |
Description: Existential uniqueness
"picks" a variable value for which another wff is
true. If there is only one thing ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
eupick |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eumo 2005 |
. 2
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2 | mopick 2051 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | sylan 279 |
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 681 ax-5 1404 ax-7 1405 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-10 1464 ax-11 1465 ax-i12 1466 ax-bndl 1467 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 ax-i5r 1496 |
This theorem depends on definitions: df-bi 116 df-nf 1418 df-sb 1717 df-eu 1976 df-mo 1977 |
This theorem is referenced by: eupicka 2053 eupickb 2054 reupick 3324 reupick3 3325 copsexg 4124 eusv2nf 4335 funssres 5121 oprabid 5755 txcn 12280 |
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