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Mirrors > Home > ILE Home > Th. List > riotabidv | Unicode version |
Description: Formula-building deduction for restricted iota. (Contributed by NM, 15-Sep-2011.) |
Ref | Expression |
---|---|
riotabidv.1 |
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Ref | Expression |
---|---|
riotabidv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biidd 172 |
. . . 4
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2 | riotabidv.1 |
. . . 4
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3 | 1, 2 | anbi12d 473 |
. . 3
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4 | 3 | iotabidv 5237 |
. 2
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5 | df-riota 5873 |
. 2
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6 | df-riota 5873 |
. 2
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7 | 4, 5, 6 | 3eqtr4g 2251 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2175 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2180 df-cleq 2186 df-clel 2189 df-nfc 2325 df-rex 2478 df-uni 3836 df-iota 5215 df-riota 5873 |
This theorem is referenced by: riotaeqbidv 5876 csbriotag 5886 infvalti 7081 caucvgsrlemfv 7851 axcaucvglemval 7957 axcaucvglemcau 7958 subval 8211 divvalap 8693 divfnzn 9686 flval 10341 cjval 10989 sqrtrval 11144 qnumval 12323 qdenval 12324 grpinvval 13115 |
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