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Mirrors > Home > ILE Home > Th. List > ee8anv | Unicode version |
Description: Rearrange existential quantifiers. (Contributed by Jim Kingdon, 23-Nov-2019.) |
Ref | Expression |
---|---|
ee8anv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | exrot4 1684 | . . 3 | |
2 | 1 | 2exbii 1599 | . 2 |
3 | ee4anv 1927 | . . . 4 | |
4 | 3 | 2exbii 1599 | . . 3 |
5 | 4 | 2exbii 1599 | . 2 |
6 | ee4anv 1927 | . 2 | |
7 | 2, 5, 6 | 3bitri 205 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wex 1485 |
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-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 ax-17 1519 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 df-nf 1454 |
This theorem is referenced by: enq0tr 7383 |
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