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Mirrors > Home > ILE Home > Th. List > nfralya | Unicode version |
Description: Not-free for restricted
universal quantification where ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfralya.1 |
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nfralya.2 |
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Ref | Expression |
---|---|
nfralya |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nftru 1480 |
. . 3
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2 | nfralya.1 |
. . . 4
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3 | 2 | a1i 9 |
. . 3
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4 | nfralya.2 |
. . . 4
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5 | 4 | a1i 9 |
. . 3
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6 | 1, 3, 5 | nfraldya 2532 |
. 2
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7 | 6 | mptru 1373 |
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 1461 ax-7 1462 ax-gen 1463 ax-ie1 1507 ax-ie2 1508 ax-8 1518 ax-10 1519 ax-11 1520 ax-i12 1521 ax-bndl 1523 ax-4 1524 ax-17 1540 ax-i9 1544 ax-ial 1548 ax-i5r 1549 ax-ext 2178 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1475 df-sb 1777 df-cleq 2189 df-clel 2192 df-nfc 2328 df-ral 2480 |
This theorem is referenced by: nfiinya 3945 nfsup 7056 caucvgsrlemgt1 7860 axpre-suploclemres 7966 supinfneg 9666 infsupneg 9667 ctiunctlemudc 12630 trirec0 15655 |
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