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relation
autom
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AutomataTheory
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At:
quotient
of
nsubn
n:{1...}, E:(
n
n
Prop). (EquivRel x,y:
n. x E y) & (
x,y:
n. Dec(x E y))
(
m:
(n+1).
m ~ (i,j:
n//(i E j)))
By:
BackThru
Thm*
i:
, E:({i...}
Prop). E(i)
(
k:{i+1...}. E(k-1)
E(k))
(
k:{i...}. E(k))
Generated subgoals:
1
E:(
1
1
Prop). (EquivRel x,y:
1. x E y) & (
x,y:
1. Dec(x E y))
(
m:
(1+1).
m ~ (i,j:
1//(i E j)))
2
n:{1+1...}. (
E:(
(n-1)
(n-1)
Prop). (EquivRel x,y:
(n-1). x E y) & (
x,y:
(n-1). Dec(x E y))
(
m:
(n-1+1).
m ~ (i,j:
(n-1)//(i E j))))
(
E:(
n
n
Prop). (EquivRel x,y:
n. x E y) & (
x,y:
n. Dec(x E y))
(
m:
(n+1).
m ~ (i,j:
n//(i E j))))
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