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Mirrors > Home > ILE Home > Th. List > nfsbc1d | Unicode version |
Description: Deduction version of nfsbc1 2930. (Contributed by NM, 23-May-2006.) (Revised by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
---|---|
nfsbc1d.2 |
Ref | Expression |
---|---|
nfsbc1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-sbc 2914 | . 2 | |
2 | nfsbc1d.2 | . . 3 | |
3 | nfab1 2284 | . . . 4 | |
4 | 3 | a1i 9 | . . 3 |
5 | 2, 4 | nfeld 2298 | . 2 |
6 | 1, 5 | nfxfrd 1452 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wnf 1437 wcel 1481 cab 2126 wnfc 2269 wsbc 2913 |
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-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-11 1485 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-sbc 2914 |
This theorem is referenced by: nfsbc1 2930 nfcsb1d 3038 |
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