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Mirrors > Home > ILE Home > Th. List > riotabidv | Unicode version |
Description: Formula-building deduction for restricted iota. (Contributed by NM, 15-Sep-2011.) |
Ref | Expression |
---|---|
riotabidv.1 |
Ref | Expression |
---|---|
riotabidv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biidd 171 | . . . 4 | |
2 | riotabidv.1 | . . . 4 | |
3 | 1, 2 | anbi12d 465 | . . 3 |
4 | 3 | iotabidv 5168 | . 2 |
5 | df-riota 5792 | . 2 | |
6 | df-riota 5792 | . 2 | |
7 | 4, 5, 6 | 3eqtr4g 2222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wceq 1342 wcel 2135 cio 5145 crio 5791 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-rex 2448 df-uni 3784 df-iota 5147 df-riota 5792 |
This theorem is referenced by: riotaeqbidv 5795 csbriotag 5804 infvalti 6978 caucvgsrlemfv 7723 axcaucvglemval 7829 axcaucvglemcau 7830 subval 8081 divvalap 8561 divfnzn 9550 flval 10197 cjval 10773 sqrtrval 10928 qnumval 12096 qdenval 12097 |
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