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Related theorems GIF version |
| Description: Define the range of a class. For an alternate definition, see dfrn2 2523. |
| Ref | Expression |
|---|---|
| df-rn | ⊢ ran A = dom ◡A |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class A | |
| 2 | 1 | crn 2411 | . 2 class ran A |
| 3 | 1 | ccnv 2409 | . . 3 class ◡A |
| 4 | 3 | cdm 2410 | . 2 class dom ◡A |
| 5 | 2, 4 | wceq 1091 | 1 wff ran A = dom ◡A |
| Colors of variables: wff set class |
| This definition is referenced by: dfrn2 2523 rneq 2555 rnss 2558 brelrn 2559 rnco 2571 rncoeq 2574 rnsnop 2637 op2nda 2639 rnun 2644 rnin 2645 rnxp 2657 cnvexg 2669 funcnvres 2710 funimacnv 2711 fconst 2774 f1cnv 2782 f1o4 2807 f1ocnv 2811 tz7.48-3 2996 sbthlem5 3353 sbthlem8 3356 sbthlem9 3357 inf3lem7 3470 zornlem4 3606 fodom 3613 fodomb 3615 uzrdgval 4657 |