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Mirrors > Home > ILE Home > Th. List > nfraldya | Unicode version |
Description: Not-free for restricted
universal quantification where ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfraldya.2 |
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nfraldya.3 |
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nfraldya.4 |
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Ref | Expression |
---|---|
nfraldya |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2311 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | sbim 1827 |
. . . . . 6
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3 | clelsb3 2142 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 3 | imbi1i 227 |
. . . . . 6
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5 | 2, 4 | bitri 173 |
. . . . 5
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6 | 5 | albii 1359 |
. . . 4
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7 | nfv 1421 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 7 | sb8 1736 |
. . . 4
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9 | df-ral 2311 |
. . . 4
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10 | 6, 8, 9 | 3bitr4i 201 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | nfv 1421 |
. . . 4
![]() ![]() ![]() ![]() | |
12 | nfraldya.3 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
13 | nfraldya.2 |
. . . . 5
![]() ![]() ![]() ![]() | |
14 | nfraldya.4 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
15 | 13, 14 | nfsbd 1851 |
. . . 4
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16 | 11, 12, 15 | nfraldxy 2356 |
. . 3
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17 | 10, 16 | nfxfrd 1364 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 1, 17 | nfxfrd 1364 |
1
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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 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 |
This theorem is referenced by: nfralya 2362 |
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