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Mirrors > Home > ILE Home > Th. List > nfeudv | Unicode version |
Description: Deduction version of nfeu 2019.
Similar to nfeud 2016 but has the additional
constraint that ![]() ![]() |
Ref | Expression |
---|---|
nfeudv.1 |
![]() ![]() ![]() ![]() |
nfeudv.2 |
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Ref | Expression |
---|---|
nfeudv |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1509 |
. . 3
![]() ![]() ![]() ![]() | |
2 | nfeudv.1 |
. . . 4
![]() ![]() ![]() ![]() | |
3 | nfeudv.2 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | nfv 1509 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() | |
5 | 4 | a1i 9 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | 3, 5 | nfbid 1568 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | 2, 6 | nfald 1734 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | 1, 7 | nfexd 1735 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | df-eu 2003 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
10 | 9 | nfbii 1450 |
. 2
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11 | 8, 10 | sylibr 133 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 ax-i5r 1516 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-eu 2003 |
This theorem is referenced by: nfeud 2016 |
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