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Mirrors > Home > ILE Home > Th. List > feq1d | Unicode version |
Description: Equality deduction for functions. (Contributed by NM, 19-Feb-2008.) |
Ref | Expression |
---|---|
feq1d.1 |
Ref | Expression |
---|---|
feq1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | feq1d.1 | . 2 | |
2 | feq1 5225 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1316 wf 5089 |
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-v 2662 df-un 3045 df-in 3047 df-ss 3054 df-sn 3503 df-pr 3504 df-op 3506 df-br 3900 df-opab 3960 df-rel 4516 df-cnv 4517 df-co 4518 df-dm 4519 df-rn 4520 df-fun 5095 df-fn 5096 df-f 5097 |
This theorem is referenced by: feq12d 5232 fco2 5259 fssres2 5270 fresin 5271 fmpt3d 5544 fmptco 5554 fressnfv 5575 off 5962 caofinvl 5972 f2ndf 6091 eroprf 6490 pmresg 6538 fseq1p1m1 9842 lmbr 12309 blfps 12505 blf 12506 dvmptclx 12776 |
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