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Mirrors > Home > ILE Home > Th. List > eupickbi | Unicode version |
Description: Theorem *14.26 in [WhiteheadRussell] p. 192. (Contributed by Andrew Salmon, 11-Jul-2011.) |
Ref | Expression |
---|---|
eupickbi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eupicka 1980 | . . 3 | |
2 | 1 | ex 108 | . 2 |
3 | hba1 1433 | . . . . 5 | |
4 | ancl 301 | . . . . . . 7 | |
5 | simpl 102 | . . . . . . 7 | |
6 | 4, 5 | impbid1 130 | . . . . . 6 |
7 | 6 | sps 1430 | . . . . 5 |
8 | 3, 7 | eubidh 1906 | . . . 4 |
9 | euex 1930 | . . . 4 | |
10 | 8, 9 | syl6bi 152 | . . 3 |
11 | 10 | com12 27 | . 2 |
12 | 2, 11 | impbid 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wal 1241 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-nf 1350 df-sb 1646 df-eu 1903 df-mo 1904 |
This theorem is referenced by: (None) |
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