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Mirrors > Home > ILE Home > Th. List > iotabidv | Unicode version |
Description: Formula-building deduction for iota. (Contributed by NM, 20-Aug-2011.) |
Ref | Expression |
---|---|
iotabidv.1 |
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Ref | Expression |
---|---|
iotabidv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iotabidv.1 |
. . 3
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2 | 1 | alrimiv 1828 |
. 2
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3 | iotabi 5055 |
. 2
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4 | 2, 3 | syl 14 |
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 1406 ax-7 1407 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-10 1466 ax-11 1467 ax-i12 1468 ax-bndl 1469 ax-4 1470 ax-17 1489 ax-i9 1493 ax-ial 1497 ax-i5r 1498 ax-ext 2097 |
This theorem depends on definitions: df-bi 116 df-tru 1317 df-nf 1420 df-sb 1719 df-clab 2102 df-cleq 2108 df-clel 2111 df-nfc 2244 df-rex 2396 df-uni 3703 df-iota 5046 |
This theorem is referenced by: csbiotag 5074 dffv3g 5371 fveq1 5374 fveq2 5375 fvres 5399 csbfv12g 5411 fvco2 5444 riotaeqdv 5685 riotabidv 5686 riotabidva 5700 ovtposg 6110 shftval 10490 sumeq1 11016 sumeq2 11020 zsumdc 11045 isumclim3 11084 isumshft 11151 |
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