Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > mobid | Unicode version |
Description: Formula-building rule for "at most one" quantifier (deduction rule). (Contributed by NM, 8-Mar-1995.) |
Ref | Expression |
---|---|
mobid.1 | |
mobid.2 |
Ref | Expression |
---|---|
mobid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mobid.1 | . . . 4 | |
2 | mobid.2 | . . . 4 | |
3 | 1, 2 | exbid 1547 | . . 3 |
4 | 1, 2 | eubid 1948 | . . 3 |
5 | 3, 4 | imbi12d 232 | . 2 |
6 | df-mo 1945 | . 2 | |
7 | df-mo 1945 | . 2 | |
8 | 5, 6, 7 | 3bitr4g 221 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wnf 1389 wex 1421 weu 1941 wmo 1942 |
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-4 1440 ax-17 1459 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-eu 1944 df-mo 1945 |
This theorem is referenced by: mobidv 1977 rmobida 2540 rmoeq1f 2548 |
Copyright terms: Public domain | W3C validator |