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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 5314 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1342 wf 5178 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-3an 969 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-v 2723 df-un 3115 df-in 3117 df-ss 3124 df-sn 3576 df-pr 3577 df-op 3579 df-br 3977 df-opab 4038 df-rel 4605 df-cnv 4606 df-co 4607 df-dm 4608 df-rn 4609 df-fun 5184 df-fn 5185 df-f 5186 |
This theorem is referenced by: feq12d 5321 fco2 5348 fssres2 5359 fresin 5360 fmpt3d 5635 fmptco 5645 fressnfv 5666 off 6056 caofinvl 6066 f2ndf 6185 eroprf 6585 pmresg 6633 fseq1p1m1 10019 lmbr 12754 blfps 12950 blf 12951 dvmptclx 13221 |
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