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Mirrors > Home > ILE Home > Th. List > nfsbcd | Unicode version |
Description: Deduction version of nfsbc 2953. (Contributed by NM, 23-Nov-2005.) (Revised by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
---|---|
nfsbcd.1 |
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nfsbcd.2 |
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nfsbcd.3 |
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Ref | Expression |
---|---|
nfsbcd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-sbc 2934 |
. 2
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2 | nfsbcd.2 |
. . 3
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3 | nfsbcd.1 |
. . . 4
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4 | nfsbcd.3 |
. . . 4
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5 | 3, 4 | nfabd 2316 |
. . 3
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6 | 2, 5 | nfeld 2312 |
. 2
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7 | 1, 6 | 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 1481 ax-10 1482 ax-11 1483 ax-i12 1484 ax-bndl 1486 ax-4 1487 ax-17 1503 ax-i9 1507 ax-ial 1511 ax-i5r 1512 ax-ext 2136 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1740 df-clab 2141 df-cleq 2147 df-clel 2150 df-nfc 2285 df-sbc 2934 |
This theorem is referenced by: nfsbc 2953 nfcsbd 3062 sbcnestgf 3078 |
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