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Mirrors > Home > ILE Home > Th. List > nfrexdya | Unicode version |
Description: Not-free for restricted
existential quantification where ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfraldya.2 |
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nfraldya.3 |
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nfraldya.4 |
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Ref | Expression |
---|---|
nfrexdya |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2423 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | sban 1929 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | clelsb3 2245 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 3 | anbi1i 454 |
. . . . . 6
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5 | 2, 4 | bitri 183 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | 5 | exbii 1585 |
. . . 4
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7 | nfv 1509 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 7 | sb8e 1830 |
. . . 4
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9 | df-rex 2423 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
10 | 6, 8, 9 | 3bitr4i 211 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | nfv 1509 |
. . . 4
![]() ![]() ![]() ![]() | |
12 | nfraldya.3 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
13 | nfraldya.2 |
. . . . 5
![]() ![]() ![]() ![]() | |
14 | nfraldya.4 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
15 | 13, 14 | nfsbd 1951 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 11, 12, 15 | nfrexdxy 2471 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 10, 16 | nfxfrd 1452 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 1, 17 | nfxfrd 1452 |
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-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-cleq 2133 df-clel 2136 df-nfc 2271 df-rex 2423 |
This theorem is referenced by: nfrexya 2477 |
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