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Mirrors > Home > ILE Home > Th. List > sb5rf | Unicode version |
Description: Reversed substitution. (Contributed by NM, 3-Feb-2005.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
sb5rf.1 |
Ref | Expression |
---|---|
sb5rf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb5rf.1 | . . . 4 | |
2 | 1 | sbid2h 1842 | . . 3 |
3 | sb1 1759 | . . 3 | |
4 | 2, 3 | sylbir 134 | . 2 |
5 | stdpc7 1763 | . . . 4 | |
6 | 5 | imp 123 | . . 3 |
7 | 1, 6 | exlimih 1586 | . 2 |
8 | 4, 7 | impbii 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1346 wex 1485 wsb 1755 |
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 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 df-sb 1756 |
This theorem is referenced by: 2sb5rf 1982 sbelx 1990 |
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