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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 5389 | . 2 | |
2 | 1 | fveq2d 5393 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1316 cfv 5093 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-3an 949 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 df-v 2662 df-un 3045 df-sn 3503 df-pr 3504 df-op 3506 df-uni 3707 df-br 3900 df-iota 5058 df-fv 5101 |
This theorem is referenced by: difinfsnlem 6952 ctssdclemn0 6963 seq3f1olemqsum 10241 seq3f1oleml 10244 seq3f1o 10245 seq3homo 10251 seq3coll 10553 fsumf1o 11127 iserabs 11212 explecnv 11242 cvgratnnlemnexp 11261 cvgratnnlemmn 11262 alginv 11655 algcvg 11656 algcvga 11659 ctiunctlemu1st 11874 ctiunctlemu2nd 11875 ctiunctlemudc 11877 ctiunctlemfo 11879 subctctexmid 13123 |
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