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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
10.
(k E n) = true
E(k,n) = E(k,k)
By:
Unfold `refl` 4
Generated subgoal:
1
4.
a:
. a E a
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
10.
(k E n) = true
E(k,n) = E(k,k)
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