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| Mirrors > Home > NFE Home > Th. List > df-fv | GIF version | ||
| Description: Define the value of a function. (Contributed by SF, 5-Jan-2015.) | 
| Ref | Expression | 
|---|---|
| df-fv | ⊢ (F ‘A) = (℩xAFx) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | cA | . . 3 class A | |
| 2 | cF | . . 3 class F | |
| 3 | 1, 2 | cfv 4782 | . 2 class (F ‘A) | 
| 4 | vx | . . . . 5 setvar x | |
| 5 | 4 | cv 1641 | . . . 4 class x | 
| 6 | 1, 5, 2 | wbr 4640 | . . 3 wff AFx | 
| 7 | 6, 4 | cio 4338 | . 2 class (℩xAFx) | 
| 8 | 3, 7 | wceq 1642 | 1 wff (F ‘A) = (℩xAFx) | 
| Colors of variables: wff setvar class | 
| This definition is referenced by: fv2 5325 fvprc 5326 fveq1 5328 fveq2 5329 nffv 5335 csbfv12g 5337 fvex 5340 fvres 5343 tz6.12-1 5345 fvco2 5383 | 
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