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Mirrors > Home > ILE Home > Th. List > nfcsbd | Unicode version |
Description: Deduction version of nfcsb 2878. (Contributed by NM, 21-Nov-2005.) (Revised by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
---|---|
nfcsbd.1 |
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nfcsbd.2 |
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nfcsbd.3 |
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Ref | Expression |
---|---|
nfcsbd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-csb 2847 |
. 2
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2 | nfv 1418 |
. . 3
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3 | nfcsbd.1 |
. . . 4
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4 | nfcsbd.2 |
. . . 4
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5 | nfcsbd.3 |
. . . . 5
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6 | 5 | nfcrd 2188 |
. . . 4
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7 | 3, 4, 6 | nfsbcd 2777 |
. . 3
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8 | 2, 7 | nfabd 2193 |
. 2
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9 | 1, 8 | nfcxfrd 2173 |
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 629 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-nf 1347 df-sb 1643 df-clab 2024 df-cleq 2030 df-clel 2033 df-nfc 2164 df-sbc 2759 df-csb 2847 |
This theorem is referenced by: nfcsb 2878 |
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