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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 36792). It is used only by df-funsALTV 36792. (Contributed by Peter Mazsa, 17-Jul-2021.) |
Ref | Expression |
---|---|
df-funss | ⊢ Funss = {𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels } |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cfunss 36362 | . 2 class Funss | |
2 | vx | . . . . . 6 setvar 𝑥 | |
3 | 2 | cv 1538 | . . . . 5 class 𝑥 |
4 | 3 | ccoss 36333 | . . . 4 class ≀ 𝑥 |
5 | ccnvrefrels 36341 | . . . 4 class CnvRefRels | |
6 | 4, 5 | wcel 2106 | . . 3 wff ≀ 𝑥 ∈ CnvRefRels |
7 | 6, 2 | cab 2715 | . 2 class {𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels } |
8 | 1, 7 | wceq 1539 | 1 wff Funss = {𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels } |
Colors of variables: wff setvar class |
This definition is referenced by: dffunsALTV 36794 |
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