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Mirrors > Home > ILE Home > Th. List > sb6rf | Unicode version |
Description: Reversed substitution. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
sb5rf.1 |
Ref | Expression |
---|---|
sb6rf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb5rf.1 | . . 3 | |
2 | sbequ1 1748 | . . . . 5 | |
3 | 2 | equcoms 1688 | . . . 4 |
4 | 3 | com12 30 | . . 3 |
5 | 1, 4 | alrimih 1449 | . 2 |
6 | sb2 1747 | . . 3 | |
7 | 1 | sbid2h 1829 | . . 3 |
8 | 6, 7 | sylib 121 | . 2 |
9 | 5, 8 | impbii 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wal 1333 wsb 1742 |
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 1427 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-11 1486 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-sb 1743 |
This theorem is referenced by: 2sb6rf 1970 eu1 2031 |
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