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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 3171 | . . 3 | |
2 | 1 | anbi2d 461 | . 2 |
3 | df-f 5202 | . 2 | |
4 | df-f 5202 | . 2 | |
5 | 2, 3, 4 | 3bitr4g 222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wceq 1348 wss 3121 crn 4612 wfn 5193 wf 5194 |
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 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-in 3127 df-ss 3134 df-f 5202 |
This theorem is referenced by: feq23 5333 feq3d 5336 feq123d 5338 fun2 5371 fconstg 5394 f1eq3 5400 fsng 5669 fsn2 5670 fsnunf 5696 mapvalg 6636 mapsn 6668 lmff 13043 txcn 13069 |
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