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Mirrors > Home > ILE Home > Th. List > ee4anv | Unicode version |
Description: Rearrange existential quantifiers. (Contributed by NM, 31-Jul-1995.) |
Ref | Expression |
---|---|
ee4anv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | excom 1642 | . . 3 | |
2 | 1 | exbii 1584 | . 2 |
3 | eeanv 1902 | . . 3 | |
4 | 3 | 2exbii 1585 | . 2 |
5 | eeanv 1902 | . 2 | |
6 | 2, 4, 5 | 3bitri 205 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wex 1468 |
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 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1437 |
This theorem is referenced by: ee8anv 1905 cgsex4g 2718 th3qlem1 6524 dmaddpq 7180 dmmulpq 7181 ltdcnq 7198 enq0ref 7234 nqpnq0nq 7254 nqnq0a 7255 nqnq0m 7256 genpdisj 7324 axaddcl 7665 axmulcl 7667 |
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