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Mirrors > Home > ILE Home > Th. List > riotaeqdv | Unicode version |
Description: Formula-building deduction for iota. (Contributed by NM, 15-Sep-2011.) |
Ref | Expression |
---|---|
riotaeqdv.1 |
Ref | Expression |
---|---|
riotaeqdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | riotaeqdv.1 | . . . . 5 | |
2 | 1 | eleq2d 2187 | . . . 4 |
3 | 2 | anbi1d 460 | . . 3 |
4 | 3 | iotabidv 5079 | . 2 |
5 | df-riota 5698 | . 2 | |
6 | df-riota 5698 | . 2 | |
7 | 4, 5, 6 | 3eqtr4g 2175 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1316 wcel 1465 cio 5056 crio 5697 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 df-uni 3707 df-iota 5058 df-riota 5698 |
This theorem is referenced by: riotaeqbidv 5701 |
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