Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > reupick3 | Unicode version |
Description: Restricted uniqueness "picks" a member of a subclass. (Contributed by Mario Carneiro, 19-Nov-2016.) |
Ref | Expression |
---|---|
reupick3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-reu 2355 | . . . 4 | |
2 | df-rex 2354 | . . . . 5 | |
3 | anass 393 | . . . . . 6 | |
4 | 3 | exbii 1536 | . . . . 5 |
5 | 2, 4 | bitr4i 185 | . . . 4 |
6 | eupick 2020 | . . . 4 | |
7 | 1, 5, 6 | syl2anb 285 | . . 3 |
8 | 7 | expd 254 | . 2 |
9 | 8 | 3impia 1135 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 wex 1421 wcel 1433 weu 1941 wrex 2349 wreu 2350 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-nf 1390 df-sb 1686 df-eu 1944 df-mo 1945 df-rex 2354 df-reu 2355 |
This theorem is referenced by: reupick2 3250 |
Copyright terms: Public domain | W3C validator |