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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 2478 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | sban 1971 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | clelsb1 2298 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 3 | anbi1i 458 |
. . . . . 6
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5 | 2, 4 | bitri 184 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | 5 | exbii 1616 |
. . . 4
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7 | nfv 1539 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 7 | sb8e 1868 |
. . . 4
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9 | df-rex 2478 |
. . . 4
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10 | 6, 8, 9 | 3bitr4i 212 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | nfv 1539 |
. . . 4
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12 | nfraldya.3 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
13 | nfraldya.2 |
. . . . 5
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14 | nfraldya.4 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
15 | 13, 14 | nfsbd 1993 |
. . . 4
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16 | 11, 12, 15 | nfrexdxy 2528 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 10, 16 | nfxfrd 1486 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 1, 17 | nfxfrd 1486 |
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 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2175 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-cleq 2186 df-clel 2189 df-nfc 2325 df-rex 2478 |
This theorem is referenced by: nfrexya 2535 |
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