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Mirrors > Home > ILE Home > Th. List > riotabidv | Unicode version |
Description: Formula-building deduction rule for restricted iota. (Contributed by NM, 15-Sep-2011.) |
Ref | Expression |
---|---|
riotabidv.1 |
Ref | Expression |
---|---|
riotabidv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biidd 161 | . . . 4 | |
2 | riotabidv.1 | . . . 4 | |
3 | 1, 2 | anbi12d 442 | . . 3 |
4 | 3 | iotabidv 4888 | . 2 |
5 | df-riota 5468 | . 2 | |
6 | df-riota 5468 | . 2 | |
7 | 4, 5, 6 | 3eqtr4g 2097 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wceq 1243 wcel 1393 cio 4865 crio 5467 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rex 2312 df-uni 3581 df-iota 4867 df-riota 5468 |
This theorem is referenced by: riotaeqbidv 5471 csbriotag 5480 caucvgsrlemfv 6875 axcaucvglemval 6971 axcaucvglemcau 6972 subval 7203 divvalap 7653 divfnzn 8556 flval 9116 cjval 9445 sqrtrval 9598 |
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