Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > eupickb | Unicode version |
Description: Existential uniqueness "pick" showing wff equivalence. (Contributed by NM, 25-Nov-1994.) |
Ref | Expression |
---|---|
eupickb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eupick 1979 | . . 3 | |
2 | 1 | 3adant2 923 | . 2 |
3 | 3simpc 903 | . . 3 | |
4 | pm3.22 252 | . . . . 5 | |
5 | 4 | eximi 1491 | . . . 4 |
6 | 5 | anim2i 324 | . . 3 |
7 | eupick 1979 | . . 3 | |
8 | 3, 6, 7 | 3syl 17 | . 2 |
9 | 2, 8 | impbid 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 w3a 885 wex 1381 weu 1900 |
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-3an 887 df-nf 1350 df-sb 1646 df-eu 1903 df-mo 1904 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |