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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 |
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Ref | Expression |
---|---|
iota5 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iota5.1 |
. . 3
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2 | 1 | alrimiv 1826 |
. 2
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3 | eqeq2 2122 |
. . . . . . 7
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4 | 3 | bibi2d 231 |
. . . . . 6
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5 | 4 | albidv 1776 |
. . . . 5
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6 | eqeq2 2122 |
. . . . 5
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7 | 5, 6 | imbi12d 233 |
. . . 4
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8 | iotaval 5055 |
. . . 4
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9 | 7, 8 | vtoclg 2715 |
. . 3
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10 | 9 | adantl 273 |
. 2
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11 | 2, 10 | mpd 13 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 681 ax-5 1404 ax-7 1405 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-10 1464 ax-11 1465 ax-i12 1466 ax-bndl 1467 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 ax-i5r 1496 ax-ext 2095 |
This theorem depends on definitions: df-bi 116 df-tru 1315 df-nf 1418 df-sb 1717 df-clab 2100 df-cleq 2106 df-clel 2109 df-nfc 2242 df-rex 2394 df-v 2657 df-sbc 2877 df-un 3039 df-sn 3497 df-pr 3498 df-uni 3701 df-iota 5044 |
This theorem is referenced by: fsum3 11042 |
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