Description: A function that maps a set x to the smallest Tarski class that contains the set. (Contributed by FL, 30-Dec-2010)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-tskm | |- tarskiMap = ( x e. _V |-> |^| { y e. Tarski | x e. y } ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | ctskm | |- tarskiMap |
|
| 1 | vx | |- x |
|
| 2 | cvv | |- _V |
|
| 3 | vy | |- y |
|
| 4 | ctsk | |- Tarski |
|
| 5 | 1 | cv | |- x |
| 6 | 3 | cv | |- y |
| 7 | 5 6 | wcel | |- x e. y |
| 8 | 7 3 4 | crab | |- { y e. Tarski | x e. y } |
| 9 | 8 | cint | |- |^| { y e. Tarski | x e. y } |
| 10 | 1 2 9 | cmpt | |- ( x e. _V |-> |^| { y e. Tarski | x e. y } ) |
| 11 | 0 10 | wceq | |- tarskiMap = ( x e. _V |-> |^| { y e. Tarski | x e. y } ) |