Metamath Proof Explorer


Definition df-funss

Description: Define the class of all function sets (but not necessarily function relations, cf. df-funsALTV ). It is used only by df-funsALTV . (Contributed by Peter Mazsa, 17-Jul-2021)

Ref Expression
Assertion df-funss Funss = { 𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels }

Detailed syntax breakdown

Step Hyp Ref Expression
0 cfunss ⊢ Funss
1 vx ⊢ 𝑥
2 1 cv ⊢ 𝑥
3 2 ccoss ⊢ ≀ 𝑥
4 ccnvrefrels ⊢ CnvRefRels
5 3 4 wcel ⊢ ≀ 𝑥 ∈ CnvRefRels
6 5 1 cab ⊢ { 𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels }
7 0 6 wceq ⊢ Funss = { 𝑥 ∣ ≀ 𝑥 ∈ CnvRefRels }