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AutomataTheory
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1.
E:
2.
n:
3.
k:
4.
Refl(
;x,y.x E y)
5.
a,b:
. (a E b)
(b E a)
6.
Trans x,y:
. x E y
7.
n E k
8.
E(n) = E(k)
9.
k E n
E(k,n) = E(k,k)
By:
FwdThru
Thm*
b:
. b
b = true
[9]
Generated subgoal:
1
10.
(k E n) = true
E(k,n) = E(k,k)
About:
E(k,n) = E(k,k)
;x,y.x E y)
a,b:. (a E b) 
(b E a). x E y E(k,n) = E(k,k)b:. b b = true
[9] E(k,n) = E(k,k)
