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exponent
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AutomataTheory
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At:
auto2
lemma
5
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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.
InvFuns(
n
n1;
(n1
n); f1; g)
10.
a1:
(n1
n)
11.
a2:
(n1
n)
12.
((f o g(a1))[
n]) = ((f o g(a2))[
n])
{l:(Alph*)| ||l|| = n }
13.
(
i.(f o g(a1))(i)) = (
i.(f o g(a2))(i))
n
Alph
i:
n. (f o g(a1))(i) = (f o g(a2))(i)
By:
Analyze 0
Generated subgoal:
1
14.
i:
n
(f o g(a1))(i) = (f o g(a2))(i)
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