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Definitions
automata
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AutomataTheory
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At:
surj
is
inj
1
2
2
1
1
1
1
2
1.
n:
2.
f:
n
n
3.
Surj(
n;
n; f)
4.
a1:
n
5.
a2:
n
6.
f(a1) = f(a2)
7.
a1 = a2
8.
h:
n
(n+1)
9.
b:
(n+1).
a:
n. h(a) = b
10.
f1:
(n+1)
n
11.
b:
(n+1). h(f1(b)) = b
12.
n = 0
a1 = a2
By:
Inst
Thm*
n:{1...}, f:(
(n+1)
n).
i:
(n+1), j:
i. f(i) = f(j) [n;f1]
Generated subgoal:
1
13.
i:
(n+1), j:
i. f1(i) = f1(j)
a1 = a2
About: