Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > rmoimi2 | Unicode version |
Description: Restricted "at most one" is preserved through implication (note wff reversal). (Contributed by Alexander van der Vekens, 17-Jun-2017.) |
Ref | Expression |
---|---|
rmoimi2.1 |
Ref | Expression |
---|---|
rmoimi2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rmoimi2.1 | . . 3 | |
2 | moim 1964 | . . 3 | |
3 | 1, 2 | ax-mp 7 | . 2 |
4 | df-rmo 2314 | . 2 | |
5 | df-rmo 2314 | . 2 | |
6 | 3, 4, 5 | 3imtr4i 190 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wcel 1393 wmo 1901 wrmo 2309 |
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-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-eu 1903 df-mo 1904 df-rmo 2314 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |