Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > albiim | Unicode version |
Description: Split a biconditional and distribute quantifier. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
albiim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfbi2 368 | . . 3 | |
2 | 1 | albii 1359 | . 2 |
3 | 19.26 1370 | . 2 | |
4 | 2, 3 | bitri 173 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wal 1241 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: 2albiim 1377 hbbid 1467 equveli 1642 spsbbi 1725 eu1 1925 eqss 2960 ssext 3957 |
Copyright terms: Public domain | W3C validator |