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Definitions
automata
5
Sections
AutomataTheory
Doc
At:
homo
is
inj
1
1
1
2
1.
Alph:
Type
2.
St:
Type
3.
Auto:
Automata(Alph;St)
4.
EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
5.
c:
St
Alph*
6.
q:St. (Result(Auto)c(q)) = q
7.
Fin(Alph)
8.
Fin(St)
9.
St ~ (x,y:Alph*//(x LangOf(Auto)-induced Equiv y))
Surj(St; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); c)
By:
BackThru
Thm*
Auto:Automata(Alph;St), c:(St
Alph*). (
q:St. (Result(Auto)c(q)) = q) & Fin(Alph) & Fin(St)
Surj(St; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); c)
Generated subgoal:
1
10.
q:
St
(Result(Auto)c(q)) = q
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