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Set theory
Evaluation
bj-evalfun
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bj-evalfn
Metamath Proof Explorer
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Theorem
bj-evalfun
Description:
The evaluation at a class is a function.
(Contributed by
BJ
, 27-Dec-2021)
Ref
Expression
Assertion
bj-evalfun
⊢
Fun
⁡
Slot
A
Proof
Step
Hyp
Ref
Expression
1
df-slot
⊢
Slot
A
=
f
∈
V
⟼
f
⁡
A
2
1
funmpt2
⊢
Fun
⁡
Slot
A