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Mirrors > Home > ILE Home > Th. List > riotacl | Unicode version |
Description: Closure of restricted iota. (Contributed by NM, 21-Aug-2011.) |
Ref | Expression |
---|---|
riotacl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssrab2 3255 |
. 2
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2 | riotacl2 5865 |
. 2
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3 | 1, 2 | sselid 3168 |
1
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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-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-eu 2041 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-rex 2474 df-reu 2475 df-rab 2477 df-v 2754 df-sbc 2978 df-un 3148 df-in 3150 df-ss 3157 df-sn 3613 df-pr 3614 df-uni 3825 df-iota 5196 df-riota 5852 |
This theorem is referenced by: riotaprop 5875 riotass2 5878 riotass 5879 acexmidlemcase 5891 supclti 7027 caucvgsrlemcl 7818 caucvgsrlemgt1 7824 axcaucvglemcl 7924 subval 8179 subcl 8186 divvalap 8661 divclap 8665 lbcl 8933 divfnzn 9651 flqcl 10304 flapcl 10306 cjval 10886 cjth 10887 cjf 10888 oddpwdclemodd 12204 oddpwdclemdc 12205 oddpwdc 12206 qnumdencl 12219 qnumdenbi 12224 ismgmid 12853 grpinvf 12991 |
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