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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 1846 | . 2 |
3 | eqeq2 2149 | . . . . . . 7 | |
4 | 3 | bibi2d 231 | . . . . . 6 |
5 | 4 | albidv 1796 | . . . . 5 |
6 | eqeq2 2149 | . . . . 5 | |
7 | 5, 6 | imbi12d 233 | . . . 4 |
8 | iotaval 5099 | . . . 4 | |
9 | 7, 8 | vtoclg 2746 | . . 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 1329 wceq 1331 wcel 1480 cio 5086 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-rex 2422 df-v 2688 df-sbc 2910 df-un 3075 df-sn 3533 df-pr 3534 df-uni 3737 df-iota 5088 |
This theorem is referenced by: fsum3 11156 |
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