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| Mirrors > Home > ILE Home > Th. List > rexlimdvv | Unicode version | ||
| Description: Inference from Theorem 19.23 of [Margaris] p. 90. (Restricted quantifier version.) (Contributed by NM, 22-Jul-2004.) |
| Ref | Expression |
|---|---|
| rexlimdvv.1 |
|
| Ref | Expression |
|---|---|
| rexlimdvv |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | rexlimdvv.1 |
. . . 4
| |
| 2 | 1 | expdimp 259 |
. . 3
|
| 3 | 2 | rexlimdv 2621 |
. 2
|
| 4 | 3 | rexlimdva 2622 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1469 ax-gen 1471 ax-ie1 1515 ax-ie2 1516 ax-4 1532 ax-17 1548 ax-ial 1556 ax-i5r 1557 |
| This theorem depends on definitions: df-bi 117 df-nf 1483 df-ral 2488 df-rex 2489 |
| This theorem is referenced by: rexlimdvva 2630 f1oiso2 5895 rex2dom 6909 xpdom2 6925 genpcdl 7631 genpcuu 7632 distrlem1prl 7694 distrlem1pru 7695 distrlem5prl 7698 distrlem5pru 7699 recexprlemss1l 7747 recexprlemss1u 7748 qaddcl 9755 qmulcl 9757 summodc 11665 dvdsgcd 12304 gcddiv 12311 pceu 12589 pcqcl 12600 txcnp 14714 blssps 14870 blss 14871 tgqioo 14998 |
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