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| Mirrors > Home > NFE Home > Th. List > exrot4 | Unicode version | ||
| Description: Rotate existential quantifiers twice. (Contributed by NM, 9-Mar-1995.) |
| Ref | Expression |
|---|---|
| exrot4 |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | excom13 1743 |
. . 3
| |
| 2 | 1 | exbii 1582 |
. 2
|
| 3 | excom13 1743 |
. 2
| |
| 4 | 2, 3 | bitri 240 |
1
|
| Colors of variables: wff setvar class |
| Syntax hints: |
| This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 ax-7 1734 |
| This theorem depends on definitions: df-bi 177 df-ex 1542 |
| This theorem is referenced by: sikexlem 4295 insklem 4304 elswap 4740 dfoprab2 5558 brpprod 5839 lecex 6115 |
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