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Mirrors > Home > ILE Home > Th. List > 2fveq3 | Unicode version |
Description: Equality theorem for nested function values. (Contributed by AV, 14-Aug-2022.) |
Ref | Expression |
---|---|
2fveq3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fveq2 5421 | . 2 | |
2 | 1 | fveq2d 5425 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 cfv 5123 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-rex 2422 df-v 2688 df-un 3075 df-sn 3533 df-pr 3534 df-op 3536 df-uni 3737 df-br 3930 df-iota 5088 df-fv 5131 |
This theorem is referenced by: difinfsnlem 6984 ctssdclemn0 6995 cc2 7082 seq3f1olemqsum 10278 seq3f1oleml 10281 seq3f1o 10282 seq3homo 10288 seq3coll 10590 fsumf1o 11164 iserabs 11249 explecnv 11279 cvgratnnlemnexp 11298 cvgratnnlemmn 11299 alginv 11733 algcvg 11734 algcvga 11737 ctiunctlemu1st 11952 ctiunctlemu2nd 11953 ctiunctlemudc 11955 ctiunctlemfo 11957 subctctexmid 13201 |
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