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Mirrors > Home > ILE Home > Th. List > nfcsbd | Unicode version |
Description: Deduction version of nfcsb 3007. (Contributed by NM, 21-Nov-2005.) (Revised by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
---|---|
nfcsbd.1 | |
nfcsbd.2 | |
nfcsbd.3 |
Ref | Expression |
---|---|
nfcsbd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-csb 2976 | . 2 | |
2 | nfv 1493 | . . 3 | |
3 | nfcsbd.1 | . . . 4 | |
4 | nfcsbd.2 | . . . 4 | |
5 | nfcsbd.3 | . . . . 5 | |
6 | 5 | nfcrd 2272 | . . . 4 |
7 | 3, 4, 6 | nfsbcd 2901 | . . 3 |
8 | 2, 7 | nfabd 2277 | . 2 |
9 | 1, 8 | nfcxfrd 2256 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wnf 1421 wcel 1465 cab 2103 wnfc 2245 wsbc 2882 csb 2975 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-sbc 2883 df-csb 2976 |
This theorem is referenced by: nfcsb 3007 |
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