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exponent
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AutomataTheory
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At:
auto2
lemma
5
1
1
1
1
1
1
1
2
1.
Alph:
Type
2.
n:
3.
n1:
4.
f:
n1
Alph
5.
Bij(
n1; Alph; f)
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.
z:
(n1
n)
||(f o g(z))[
n]|| = n
By:
Inst
Thm*
m,n:
, f:({m..n
}
T). n < m
||listify(f; m; n)|| = n-m [Alph;0;n;f o g(z)]
Generated subgoal:
1
11.
n < 0
||(f o g(z))[
n]|| = n-0
||(f o g(z))[
n]|| = n
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