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Mirrors > Home > ILE Home > Th. List > sbccsb2g | Unicode version |
Description: Substitution into a wff expressed in using substitution into a class. (Contributed by NM, 27-Nov-2005.) |
Ref | Expression |
---|---|
sbccsb2g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abid 2125 | . . 3 | |
2 | 1 | sbcbii 2963 | . 2 |
3 | sbcel12g 3012 | . . 3 | |
4 | csbvarg 3025 | . . . 4 | |
5 | 4 | eleq1d 2206 | . . 3 |
6 | 3, 5 | bitrd 187 | . 2 |
7 | 2, 6 | syl5bbr 193 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wcel 1480 cab 2123 wsbc 2904 csb 2998 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-sbc 2905 df-csb 2999 |
This theorem is referenced by: (None) |
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