| Mathbox for Peter Mazsa |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-funss | Structured version Visualization version GIF version | ||
| Description: Define the class of all function sets (but not necessarily function relations, cf. df-funsALTV 38704). It is used only by df-funsALTV 38704. (Contributed by Peter Mazsa, 17-Jul-2021.) |
| Ref | Expression |
|---|---|
| df-funss | ⊢ Funss = {𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels } |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cfunss 38233 | . 2 class Funss | |
| 2 | vx | . . . . . 6 setvar 𝑥 | |
| 3 | 2 | cv 1539 | . . . . 5 class 𝑥 |
| 4 | 3 | ccoss 38204 | . . . 4 class ≀ 𝑥 |
| 5 | ccnvrefrels 38212 | . . . 4 class CnvRefRels | |
| 6 | 4, 5 | wcel 2109 | . . 3 wff ≀ 𝑥 ∈ CnvRefRels |
| 7 | 6, 2 | cab 2714 | . 2 class {𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels } |
| 8 | 1, 7 | wceq 1540 | 1 wff Funss = {𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels } |
| Colors of variables: wff setvar class |
| This definition is referenced by: dffunsALTV 38706 |
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