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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 2381 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | nfraldxy.2 |
. . 3
![]() ![]() ![]() ![]() | |
3 | nfcv 2240 |
. . . . . 6
![]() ![]() ![]() ![]() | |
4 | 3 | a1i 9 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | nfraldxy.3 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 4, 5 | nfeld 2256 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | nfraldxy.4 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 6, 7 | nfand 1515 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 2, 8 | nfexd 1702 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 1, 9 | nfxfrd 1419 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1391 ax-7 1392 ax-gen 1393 ax-ie1 1437 ax-ie2 1438 ax-4 1455 ax-17 1474 ax-ial 1482 ax-i5r 1483 ax-ext 2082 |
This theorem depends on definitions: df-bi 116 df-nf 1405 df-cleq 2093 df-clel 2096 df-nfc 2229 df-rex 2381 |
This theorem is referenced by: nfrexdya 2429 nfrexxy 2431 nfunid 3690 strcollnft 12767 |
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