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AutomataTheory
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1.
E:
Prop
2.
EquivRel x,y:
. x E y
3.
x,y:
. Dec(x E y)
h:(
). (
n,k:
. (n E k)
h(n) = h(k)) & (
n:
. n E (h(n)))
By:
FwdThru
Thm*
R:(T
T
Prop). (
x,y:T. Dec(x R y))
(
r:(T
T
).
x,y:T. (x r y)
(x R y)) [3]
Generated subgoal:
1
4.
r:(
).
x,y:
. (x r y)
(x E y)
h:(
). (
n,k:
. (n E k)
h(n) = h(k)) & (
n:
. n E (h(n)))
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