Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nfalt | Unicode version |
Description: Closed form of nfal 1468. (Contributed by Jim Kingdon, 11-May-2018.) |
Ref | Expression |
---|---|
nfalt |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alim 1346 | . . . 4 | |
2 | alcom 1367 | . . . 4 | |
3 | 1, 2 | syl6ib 150 | . . 3 |
4 | 3 | alimi 1344 | . 2 |
5 | df-nf 1350 | . . . 4 | |
6 | 5 | albii 1359 | . . 3 |
7 | alcom 1367 | . . 3 | |
8 | 6, 7 | bitri 173 | . 2 |
9 | df-nf 1350 | . 2 | |
10 | 4, 8, 9 | 3imtr4i 190 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1241 wnf 1349 |
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 |
This theorem depends on definitions: df-bi 110 df-nf 1350 |
This theorem is referenced by: dvelimor 1894 |
Copyright terms: Public domain | W3C validator |