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 e. 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 e. CnvRefRels
6 5 1 cab
 |-  { x | ,~ x e. CnvRefRels }
7 0 6 wceq
 |-  Funss = { x | ,~ x e. CnvRefRels }