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Mirrors > Home > ILE Home > Th. List > fveq12d | Unicode version |
Description: Equality deduction for function value. (Contributed by FL, 22-Dec-2008.) |
Ref | Expression |
---|---|
fveq12d.1 |
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fveq12d.2 |
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Ref | Expression |
---|---|
fveq12d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fveq12d.1 |
. . 3
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2 | 1 | fveq1d 5529 |
. 2
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3 | fveq12d.2 |
. . 3
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4 | 3 | fveq2d 5531 |
. 2
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5 | 2, 4 | eqtrd 2220 |
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 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-ext 2169 |
This theorem depends on definitions: df-bi 117 df-3an 981 df-tru 1366 df-nf 1471 df-sb 1773 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-rex 2471 df-v 2751 df-un 3145 df-sn 3610 df-pr 3611 df-op 3613 df-uni 3822 df-br 4016 df-iota 5190 df-fv 5236 |
This theorem is referenced by: nffvd 5539 fvsng 5725 tfrlem3ag 6324 tfrlem3a 6325 tfrlemi1 6347 tfr1onlem3ag 6352 omp1eomlem 7107 seq3shft 10861 climshft2 11328 fsum3 11409 ctiunctlemfo 12454 imasival 12745 mulgfvalg 13016 mulgval 13017 mulgnndir 13044 mulgpropdg 13057 unitinvinv 13372 rlmvalg 13643 rsp0 13682 reldvg 14444 dvfvalap 14446 lgsval 14701 lgsneg 14721 |
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