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Mirrors > Home > ILE Home > Th. List > nfrexdxy | Unicode version |
Description: Not-free for restricted
existential quantification where ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfraldxy.2 |
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nfraldxy.3 |
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nfraldxy.4 |
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Ref | Expression |
---|---|
nfrexdxy |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2359 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | nfraldxy.2 |
. . 3
![]() ![]() ![]() ![]() | |
3 | nfcv 2223 |
. . . . . 6
![]() ![]() ![]() ![]() | |
4 | 3 | a1i 9 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | nfraldxy.3 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 4, 5 | nfeld 2238 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | nfraldxy.4 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 6, 7 | nfand 1501 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 2, 8 | nfexd 1686 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 1, 9 | nfxfrd 1405 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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 104 ax-ia2 105 ax-ia3 106 ax-5 1377 ax-7 1378 ax-gen 1379 ax-ie1 1423 ax-ie2 1424 ax-4 1441 ax-17 1460 ax-ial 1468 ax-i5r 1469 ax-ext 2065 |
This theorem depends on definitions: df-bi 115 df-nf 1391 df-cleq 2076 df-clel 2079 df-nfc 2212 df-rex 2359 |
This theorem is referenced by: nfrexdya 2407 nfrexxy 2409 nfunid 3634 strcollnft 11220 |
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