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At: bool listify 1 1 2

1. T: Type
2. f: T
3. n:
4. f1: nT
5. Bij(n; T; f1)
6. k:. kn (fL:T*. (t:T. mem_f(T;t;fL) f(t)) & (i:k. f(f1(i)) mem_f(T;f1(i);fL)))

fL:T*. t:T. f(t) mem_f(T;t;fL)

By:
InstHyp [n] -1
THEN
Analyze -1


Generated subgoal:

17. fL: T*
8. (t:T. mem_f(T;t;fL) f(t)) & (i:n. f(f1(i)) mem_f(T;f1(i);fL))
fL:T*. t:T. f(t) mem_f(T;t;fL)


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existslistallassertapplyuniverse
functionboolnatural_numberimpliesand