Metamath Proof Explorer


Theorem bj-evalfn

Description: The evaluation at a class is a function on the universal class. (General form of slotfn ). (Contributed by Mario Carneiro, 22-Sep-2015) (Revised by BJ, 27-Dec-2021)

Ref Expression
Assertion bj-evalfn
|- Slot A Fn _V

Proof

Step Hyp Ref Expression
1 fvex
 |-  ( f ` A ) e. _V
2 df-slot
 |-  Slot A = ( f e. _V |-> ( f ` A ) )
3 1 2 fnmpti
 |-  Slot A Fn _V