At: auto2 lemma 5 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 2 1 2 1 1 1
1. Alph: Type
2. n: 
3. n1: 
4. f:
n1
Alph
5.
a1,a2:
n1. f(a1) = f(a2) 
a1 = a2
6.
f:((
n

n1)

(n1
n)). Bij(
n

n1;
(n1
n); f)
7. f1: (
n

n1)

(n1
n)
8. g:
(n1
n)

n

n1
9. g o f1 = Id
10. f1 o g = Id
11. a1:
(n1
n)
12. a2:
(n1
n)
13. ((f o g(a1))[
n]) = ((f o g(a2))[
n])
{l:(Alph*)| ||l|| = n }
14. (
i.(f o g(a1))(i)) = (
i.(f o g(a2))(i))
n
Alph
15.
i:
n. f(g(a1,i)) = f(g(a2,i))
16.
i:
n. g(a1,i) = g(a2,i)
17. x:
n
g(a1,x) = g(a2,x)
By: Witness16 x
Generated subgoals:None
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