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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 170 | . . . 4 | |
2 | riotabidv.1 | . . . 4 | |
3 | 1, 2 | anbi12d 456 | . . 3 |
4 | 3 | iotabidv 4908 | . 2 |
5 | df-riota 5488 | . 2 | |
6 | df-riota 5488 | . 2 | |
7 | 4, 5, 6 | 3eqtr4g 2138 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 wceq 1284 wcel 1433 cio 4885 crio 5487 |
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-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-rex 2354 df-uni 3602 df-iota 4887 df-riota 5488 |
This theorem is referenced by: riotaeqbidv 5491 csbriotag 5500 infvalti 6435 caucvgsrlemfv 6967 axcaucvglemval 7063 axcaucvglemcau 7064 subval 7300 divvalap 7762 divfnzn 8706 flval 9276 cjval 9732 sqrtrval 9886 |
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