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Mirrors > Home > ILE Home > Th. List > eean | Unicode version |
Description: Rearrange existential quantifiers. (Contributed by NM, 27-Oct-2010.) (Revised by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
eean.1 | |
eean.2 |
Ref | Expression |
---|---|
eean |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eean.1 | . . . 4 | |
2 | 1 | 19.42 1651 | . . 3 |
3 | 2 | exbii 1569 | . 2 |
4 | eean.2 | . . . 4 | |
5 | 4 | nfex 1601 | . . 3 |
6 | 5 | 19.41 1649 | . 2 |
7 | 3, 6 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wnf 1421 wex 1453 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 df-nf 1422 |
This theorem is referenced by: eeanv 1884 reean 2576 |
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