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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 2076 | . . 3 | |
2 | 1 | 3adant2 1000 | . 2 |
3 | 3simpc 980 | . . 3 | |
4 | pm3.22 263 | . . . . 5 | |
5 | 4 | eximi 1579 | . . . 4 |
6 | 5 | anim2i 339 | . . 3 |
7 | eupick 2076 | . . 3 | |
8 | 3, 6, 7 | 3syl 17 | . 2 |
9 | 2, 8 | impbid 128 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 w3a 962 wex 1468 weu 1997 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-nf 1437 df-sb 1736 df-eu 2000 df-mo 2001 |
This theorem is referenced by: (None) |
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