Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 1770 | . . 3 |
3 | sb1 1689 | . . 3 | |
4 | 2, 3 | sylbir 133 | . 2 |
5 | stdpc7 1693 | . . . 4 | |
6 | 5 | imp 122 | . . 3 |
7 | 1, 6 | exlimih 1524 | . 2 |
8 | 4, 7 | impbii 124 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 wal 1282 wex 1421 wsb 1685 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 df-sb 1686 |
This theorem is referenced by: 2sb5rf 1906 sbelx 1914 |
Copyright terms: Public domain | W3C validator |