Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > mor | Unicode version |
Description: Converse of mo23 1941 with an additional condition. (Contributed by Jim Kingdon, 25-Jun-2018.) |
Ref | Expression |
---|---|
mor.1 |
Ref | Expression |
---|---|
mor |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mor.1 | . . 3 | |
2 | 1 | sb8e 1737 | . 2 |
3 | impexp 250 | . . . . 5 | |
4 | bi2.04 237 | . . . . 5 | |
5 | 3, 4 | bitri 173 | . . . 4 |
6 | 5 | 2albii 1360 | . . 3 |
7 | nfs1v 1815 | . . . . . 6 | |
8 | 7 | nfri 1412 | . . . . 5 |
9 | 8 | eximi 1491 | . . . 4 |
10 | alim 1346 | . . . . . . 7 | |
11 | 10 | alimi 1344 | . . . . . 6 |
12 | 11 | a7s 1343 | . . . . 5 |
13 | exim 1490 | . . . . 5 | |
14 | 12, 13 | syl 14 | . . . 4 |
15 | 9, 14 | syl5com 26 | . . 3 |
16 | 6, 15 | syl5bi 141 | . 2 |
17 | 2, 16 | sylbi 114 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wnf 1349 wex 1381 wsb 1645 |
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-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-11 1397 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 |
This theorem is referenced by: modc 1943 |
Copyright terms: Public domain | W3C validator |