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Mirrors > Home > ILE Home > Th. List > iota5 | Unicode version |
Description: A method for computing iota. (Contributed by NM, 17-Sep-2013.) |
Ref | Expression |
---|---|
iota5.1 |
Ref | Expression |
---|---|
iota5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iota5.1 | . . 3 | |
2 | 1 | alrimiv 1861 | . 2 |
3 | eqeq2 2174 | . . . . . . 7 | |
4 | 3 | bibi2d 231 | . . . . . 6 |
5 | 4 | albidv 1811 | . . . . 5 |
6 | eqeq2 2174 | . . . . 5 | |
7 | 5, 6 | imbi12d 233 | . . . 4 |
8 | iotaval 5158 | . . . 4 | |
9 | 7, 8 | vtoclg 2781 | . . 3 |
10 | 9 | adantl 275 | . 2 |
11 | 2, 10 | mpd 13 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1340 wceq 1342 wcel 2135 cio 5145 |
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-v 2723 df-sbc 2947 df-un 3115 df-sn 3576 df-pr 3577 df-uni 3784 df-iota 5147 |
This theorem is referenced by: fsum3 11314 fprodseq 11510 |
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