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Mirrors > Home > ILE Home > Th. List > ssralv | Unicode version |
Description: Quantification restricted to a subclass. (Contributed by NM, 11-Mar-2006.) |
Ref | Expression |
---|---|
ssralv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssel 3019 |
. . 3
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2 | 1 | imim1d 74 |
. 2
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3 | 2 | ralimdv2 2443 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-11 1442 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-nf 1395 df-sb 1693 df-clab 2075 df-cleq 2081 df-clel 2084 df-ral 2364 df-in 3005 df-ss 3012 |
This theorem is referenced by: iinss1 3742 poss 4125 sess2 4165 trssord 4207 funco 5054 funimaexglem 5097 isores3 5594 isoini2 5598 smores 6057 smores2 6059 tfrlem5 6079 ac6sfi 6614 peano5nnnn 7427 peano5nni 8425 caucvgre 10414 rexanuz 10421 cau3lem 10547 isumclim3 10817 fsumiun 10871 strsetsid 11527 rescncf 11637 nninfsellemeq 11906 |
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