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Mirrors > Home > ILE Home > Th. List > fvoveq1 | Unicode version |
Description: Equality theorem for nested function and operation value. Closed form of fvoveq1d 5899. (Contributed by AV, 23-Jul-2022.) |
Ref | Expression |
---|---|
fvoveq1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 |
. 2
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2 | 1 | fvoveq1d 5899 |
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 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-ext 2159 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-rex 2461 df-v 2741 df-un 3135 df-sn 3600 df-pr 3601 df-op 3603 df-uni 3812 df-br 4006 df-iota 5180 df-fv 5226 df-ov 5880 |
This theorem is referenced by: seq3val 10460 seqvalcd 10461 seqf 10463 seq3p1 10464 seqovcd 10465 seqp1cd 10468 seq3shft2 10475 seq3f1olemqsum 10502 facp1 10712 serf0 11362 fsumrelem 11481 mertenslemub 11544 mertenslemi1 11545 mertenslem2 11546 mertensabs 11547 pcfac 12350 ennnfonelemj0 12404 ennnfonelemjn 12405 ennnfonelem0 12408 ennnfonelemp1 12409 ennnfonelemnn0 12425 nninfdclemcl 12451 nninfdclemp1 12453 nninfdc 12456 imasaddvallemg 12741 mhmlin 12863 mhmlem 12983 mulginvcom 13013 mhmmulg 13029 comet 14084 mulc1cncf 14161 cncfco 14163 mulcncflem 14175 mulcncf 14176 ivthinclemlopn 14199 ivthinclemuopn 14201 limcimolemlt 14218 limccoap 14232 eflt 14281 rpcxpef 14400 |
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