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 } |
| 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 } |