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| Mirrors > Home > NFE Home > Th. List > df-ranfn | GIF version | ||
| Description: Define the range function. This is a function wrapper for the range operator. (Contributed by Scott Fenton, 9-Aug-2019.) |
| Ref | Expression |
|---|---|
| df-ranfn | ⊢ Ran = (x ∈ V ↦ ran x) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cranfn 5772 | . 2 class Ran | |
| 2 | vx | . . 3 setvar x | |
| 3 | cvv 2860 | . . 3 class V | |
| 4 | 2 | cv 1641 | . . . 4 class x |
| 5 | 4 | crn 4774 | . . 3 class ran x |
| 6 | 2, 3, 5 | cmpt 5652 | . 2 class (x ∈ V ↦ ran x) |
| 7 | 1, 6 | wceq 1642 | 1 wff Ran = (x ∈ V ↦ ran x) |
| Colors of variables: wff setvar class |
| This definition is referenced by: fvranfn 5870 ranfnex 5872 |
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