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Mirrors > Home > ILE Home > Th. List > cbvcsbw | Unicode version |
Description: Version of cbvcsb 3045 with a disjoint variable condition. (Contributed by Gino Giotto, 10-Jan-2024.) |
Ref | Expression |
---|---|
cbvcsbw.1 | |
cbvcsbw.2 | |
cbvcsbw.3 |
Ref | Expression |
---|---|
cbvcsbw |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvcsbw.1 | . . . . 5 | |
2 | 1 | nfcri 2300 | . . . 4 |
3 | cbvcsbw.2 | . . . . 5 | |
4 | 3 | nfcri 2300 | . . . 4 |
5 | cbvcsbw.3 | . . . . 5 | |
6 | 5 | eleq2d 2234 | . . . 4 |
7 | 2, 4, 6 | cbvsbcw 2973 | . . 3 |
8 | 7 | abbii 2280 | . 2 |
9 | df-csb 3041 | . 2 | |
10 | df-csb 3041 | . 2 | |
11 | 8, 9, 10 | 3eqtr4i 2195 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1342 wcel 2135 cab 2150 wnfc 2293 wsbc 2946 csb 3040 |
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 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-sbc 2947 df-csb 3041 |
This theorem is referenced by: cbvprod 11485 |
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