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1. Alph: Type
2. R: Alph*Alph*Prop
3. Fin(Alph)
4. EquivRel x,y:Alph*. x R y
5. Fin(x,y:Alph*//(x R y))
6. x,y,z:Alph*. (x R y) ((z @ x) R (z @ y))
7. g: (x,y:Alph*//(x R y))
8. x: x,y:Alph*//(x R y)
9. y: x,y:Alph*//(x R y)
10. < (x,y:Alph*//(x R y))(x,y:Alph*//(x R y)),a,p. p/x,y. < a.x,a.y > > ActionSet(Alph)
11. Fin((x,y:Alph*//(x R y))(x,y:Alph*//(x R y)))
12. x:((x,y:Alph*//(x R y))(x,y:Alph*//(x R y))), y:Alph*. ( < (x,y:Alph*//(x R y))(x,y:Alph*//(x R y)),a,p. p/x,y. < a.x,a.y > > :yx) = (x/x1,x2. < y@x1,y@x2 > )
13. RL: ((x,y:Alph*//(x R y))(x,y:Alph*//(x R y)))*
14. s:((x,y:Alph*//(x R y))(x,y:Alph*//(x R y))). (w:Alph*. ( < x,y > /x1,x2. < w@x1,w@x2 > ) = s) mem_f((x,y:Alph*//(x R y))(x,y:Alph*//(x R y));s;RL)
15. x@0: Alph*
16. (g(x@0@x)) = (g(x@0@y)) = false

w:Alph*. ( < x,y > /x1,x2. < w@x1,w@x2 > ) = < x@0@x,x@0@y >
By:
InstConcl [x@0]
THEN
Reduce 0
Generated subgoals:

None

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