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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 1657 | . . 3 | |
2 | 1 | exbii 1598 | . 2 |
3 | eeanv 1925 | . . 3 | |
4 | 3 | 2exbii 1599 | . 2 |
5 | eeanv 1925 | . 2 | |
6 | 2, 4, 5 | 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: ee8anv 1928 cgsex4g 2767 th3qlem1 6615 dmaddpq 7341 dmmulpq 7342 ltdcnq 7359 enq0ref 7395 nqpnq0nq 7415 nqnq0a 7416 nqnq0m 7417 genpdisj 7485 axaddcl 7826 axmulcl 7828 |
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