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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
Set theory
Evaluation at a class
bj-evalfun
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bj-evalfn
Metamath Proof Explorer
Ascii
Structured
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