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Mirrors > Home > ILE Home > Th. List > sbco4lem | Unicode version |
Description: Lemma for sbco4 2005. It replaces the temporary variable with another temporary variable . (Contributed by Jim Kingdon, 26-Sep-2018.) |
Ref | Expression |
---|---|
sbco4lem |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbcom2 1985 | . . 3 | |
2 | 1 | sbbii 1763 | . 2 |
3 | nfv 1526 | . . . . . . 7 | |
4 | 3 | sbco2 1963 | . . . . . 6 |
5 | 4 | sbbii 1763 | . . . . 5 |
6 | 5 | sbbii 1763 | . . . 4 |
7 | 6 | sbbii 1763 | . . 3 |
8 | nfv 1526 | . . . 4 | |
9 | 8 | sbco2 1963 | . . 3 |
10 | 7, 9 | bitri 184 | . 2 |
11 | nfv 1526 | . . . . 5 | |
12 | 11 | sbid2 1848 | . . . 4 |
13 | 12 | sbbii 1763 | . . 3 |
14 | 13 | sbbii 1763 | . 2 |
15 | 2, 10, 14 | 3bitr3i 210 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 105 wsb 1760 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1445 ax-7 1446 ax-gen 1447 ax-ie1 1491 ax-ie2 1492 ax-8 1502 ax-10 1503 ax-11 1504 ax-i12 1505 ax-bndl 1507 ax-4 1508 ax-17 1524 ax-i9 1528 ax-ial 1532 ax-i5r 1533 |
This theorem depends on definitions: df-bi 117 df-nf 1459 df-sb 1761 |
This theorem is referenced by: sbco4 2005 |
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