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Mirrors > Home > ILE Home > Th. List > mvrraddi | Unicode version |
Description: Move RHS right addition to LHS. (Contributed by David A. Wheeler, 11-Oct-2018.) |
Ref | Expression |
---|---|
mvrraddi.1 |
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mvrraddi.2 |
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mvrraddi.3 |
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Ref | Expression |
---|---|
mvrraddi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mvrraddi.3 |
. . 3
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2 | 1 | oveq1i 5878 |
. 2
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3 | mvrraddi.1 |
. . 3
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4 | mvrraddi.2 |
. . 3
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5 | 3, 4 | pncan3oi 8150 |
. 2
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6 | 2, 5 | eqtri 2198 |
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-in1 614 ax-in2 615 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-14 2151 ax-ext 2159 ax-sep 4118 ax-pow 4171 ax-pr 4205 ax-setind 4532 ax-resscn 7881 ax-1cn 7882 ax-icn 7884 ax-addcl 7885 ax-addrcl 7886 ax-mulcl 7887 ax-addcom 7889 ax-addass 7891 ax-distr 7893 ax-i2m1 7894 ax-0id 7897 ax-rnegex 7898 ax-cnre 7900 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-fal 1359 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ne 2348 df-ral 2460 df-rex 2461 df-reu 2462 df-rab 2464 df-v 2739 df-sbc 2963 df-dif 3131 df-un 3133 df-in 3135 df-ss 3142 df-pw 3576 df-sn 3597 df-pr 3598 df-op 3600 df-uni 3808 df-br 4001 df-opab 4062 df-id 4289 df-xp 4628 df-rel 4629 df-cnv 4630 df-co 4631 df-dm 4632 df-iota 5173 df-fun 5213 df-fv 5219 df-riota 5824 df-ov 5871 df-oprab 5872 df-mpo 5873 df-sub 8107 |
This theorem is referenced by: 4m1e3 9016 5m1e4 9017 6m1e5 9018 7m1e6 9019 8m1e7 9020 9m1e8 9021 10m1e9 9455 fldiv4p1lem1div2 10278 pockthi 12326 lgsdir2lem2 14063 |
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