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At: P no dup composable 1 1 1 2 2 1 2 1 1

1. E: EventStruct
2. x: |E| List
3. y: |E| List
4. z: |E| List
5. i,j:||x||. is-send(E)(x[i]) is-send(E)(x[j]) (x[j] =msg=(E) x[i]) loc(E)(x[i]) = loc(E)(x[j]) i = j
6. i,j:||y||. is-send(E)(y[i]) is-send(E)(y[j]) (y[j] =msg=(E) y[i]) loc(E)(y[i]) = loc(E)(y[j]) i = j
7. x@0:|E|. (x@0 x) (y@0:|E|. (y@0 y) (x@0 =msg=(E) y@0))
8. z = (x @ y)
9. i: ||z||
10. j: ||z||
11. is-send(E)(z[i])
12. is-send(E)(z[j])
13. z[j] =msg=(E) z[i]
14. loc(E)(z[i]) = loc(E)(z[j])
15. i < j
16. j < ||x||
17. ||z|| = ||x||+||y||
18. z[j] = y[(j-||x||)]
19. i < ||x||
20. z[i] = x[i]

z[i] =msg=(E) z[j]

By:
Inst Thm* E:EventStruct. EquivRel(|E|)(_1 =msg=(E) _2) [E]
THEN
UseEquiv


Generated subgoals:

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listassertintnatural_numberaddsubtractless_thanapplyequalimpliesall

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