Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > hb3an | Unicode version |
Description: If is not free in , , and , it is not free in . (Contributed by NM, 14-Sep-2003.) |
Ref | Expression |
---|---|
hb.1 | |
hb.2 | |
hb.3 |
Ref | Expression |
---|---|
hb3an |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3an 980 | . 2 | |
2 | hb.1 | . . . 4 | |
3 | hb.2 | . . . 4 | |
4 | 2, 3 | hban 1545 | . . 3 |
5 | hb.3 | . . 3 | |
6 | 4, 5 | hban 1545 | . 2 |
7 | 1, 6 | hbxfrbi 1470 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 104 w3a 978 wal 1351 |
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-5 1445 ax-gen 1447 |
This theorem depends on definitions: df-bi 117 df-3an 980 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |