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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 |
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Ref | Expression |
---|---|
feq1d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | feq1d.1 |
. 2
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2 | feq1 5364 |
. 2
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3 | 1, 2 | syl 14 |
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 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-3an 982 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 df-un 3148 df-in 3150 df-ss 3157 df-sn 3613 df-pr 3614 df-op 3616 df-br 4019 df-opab 4080 df-rel 4648 df-cnv 4649 df-co 4650 df-dm 4651 df-rn 4652 df-fun 5234 df-fn 5235 df-f 5236 |
This theorem is referenced by: feq12d 5371 fco2 5398 fssres2 5409 fresin 5410 fmpt3d 5689 fmptco 5699 fressnfv 5720 off 6114 caofinvl 6124 f2ndf 6246 eroprf 6649 pmresg 6697 pw2f1odclem 6857 fseq1p1m1 10119 mgmplusf 12835 mgmb1mgm1 12837 grpsubf 13016 lmodscaf 13619 lmbr 14150 blfps 14346 blf 14347 dvmptclx 14617 lgsfcl3 14860 |
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