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Mirrors > Home > ILE Home > Th. List > cbvrexvw | Unicode version |
Description: Version of cbvrexv 2704 with a disjoint variable condition. (Contributed by Gino Giotto, 10-Jan-2024.) Reduce axiom usage. (Revised by Gino Giotto, 25-Aug-2024.) |
Ref | Expression |
---|---|
cbvralvw.1 |
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Ref | Expression |
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cbvrexvw |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleq1w 2238 |
. . . 4
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2 | cbvralvw.1 |
. . . 4
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3 | 1, 2 | anbi12d 473 |
. . 3
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4 | 3 | cbvexvw 1920 |
. 2
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5 | df-rex 2461 |
. 2
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6 | df-rex 2461 |
. 2
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7 | 4, 5, 6 | 3bitr4i 212 |
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-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-clel 2173 df-rex 2461 |
This theorem is referenced by: cbvrex2vw 2715 prodmodclem2 11584 prodmodc 11585 zsupssdc 11954 pceu 12294 grpridd 12805 dfgrp2 12901 dfgrp3mlem 12967 bj-charfunbi 14533 |
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