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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 1644 | . . 3 | |
2 | 1 | exbii 1585 | . 2 |
3 | eeanv 1912 | . . 3 | |
4 | 3 | 2exbii 1586 | . 2 |
5 | eeanv 1912 | . 2 | |
6 | 2, 4, 5 | 3bitri 205 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wex 1472 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-4 1490 ax-17 1506 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1441 |
This theorem is referenced by: ee8anv 1915 cgsex4g 2749 th3qlem1 6582 dmaddpq 7299 dmmulpq 7300 ltdcnq 7317 enq0ref 7353 nqpnq0nq 7373 nqnq0a 7374 nqnq0m 7375 genpdisj 7443 axaddcl 7784 axmulcl 7786 |
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