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Mirrors > Home > ILE Home > Th. List > 2sb6rf | Unicode version |
Description: Reversed double substitution. (Contributed by NM, 3-Feb-2005.) |
Ref | Expression |
---|---|
2sb5rf.1 | |
2sb5rf.2 |
Ref | Expression |
---|---|
2sb6rf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2sb5rf.1 | . . 3 | |
2 | 1 | sb6rf 1840 | . 2 |
3 | 19.21v 1860 | . . . 4 | |
4 | sbcom2 1974 | . . . . . . 7 | |
5 | 4 | imbi2i 225 | . . . . . 6 |
6 | impexp 261 | . . . . . 6 | |
7 | 5, 6 | bitri 183 | . . . . 5 |
8 | 7 | albii 1457 | . . . 4 |
9 | 2sb5rf.2 | . . . . . . 7 | |
10 | 9 | hbsbv 1928 | . . . . . 6 |
11 | 10 | sb6rf 1840 | . . . . 5 |
12 | 11 | imbi2i 225 | . . . 4 |
13 | 3, 8, 12 | 3bitr4ri 212 | . . 3 |
14 | 13 | albii 1457 | . 2 |
15 | 2, 14 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1340 wsb 1749 |
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-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 |
This theorem is referenced by: (None) |
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