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Mirrors > Home > ILE Home > Th. List > riotaexg | Unicode version |
Description: Restricted iota is a set. (Contributed by Jim Kingdon, 15-Jun-2020.) |
Ref | Expression |
---|---|
riotaexg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-riota 5730 | . 2 | |
2 | uniexg 4361 | . . 3 | |
3 | iotass 5105 | . . . . 5 | |
4 | elssuni 3764 | . . . . . 6 | |
5 | 4 | adantr 274 | . . . . 5 |
6 | 3, 5 | mpg 1427 | . . . 4 |
7 | 6 | a1i 9 | . . 3 |
8 | 2, 7 | ssexd 4068 | . 2 |
9 | 1, 8 | eqeltrid 2226 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wcel 1480 cvv 2686 wss 3071 cuni 3736 cio 5086 crio 5729 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-13 1491 ax-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-sep 4046 ax-un 4355 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-ral 2421 df-rex 2422 df-v 2688 df-un 3075 df-in 3077 df-ss 3084 df-pw 3512 df-sn 3533 df-pr 3534 df-uni 3737 df-iota 5088 df-riota 5730 |
This theorem is referenced by: flval 10045 sqrtrval 10772 qnumval 11863 qdenval 11864 |
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