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Mirrors > Home > ILE Home > Th. List > feq3 | Unicode version |
Description: Equality theorem for functions. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
feq3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseq2 3152 | . . 3 | |
2 | 1 | anbi2d 460 | . 2 |
3 | df-f 5174 | . 2 | |
4 | df-f 5174 | . 2 | |
5 | 2, 3, 4 | 3bitr4g 222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wceq 1335 wss 3102 crn 4587 wfn 5165 wf 5166 |
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-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-11 1486 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-in 3108 df-ss 3115 df-f 5174 |
This theorem is referenced by: feq23 5305 feq3d 5308 feq123d 5310 fun2 5343 fconstg 5366 f1eq3 5372 fsng 5640 fsn2 5641 fsnunf 5667 mapvalg 6603 mapsn 6635 lmff 12660 txcn 12686 |
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