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At: totalorder switchable0 2 3 1 1
1. E: EventStruct
2. f: Label(|E| List)
3. g: Label(|E| List)
4. h: Label(|E| List)
5. p,q:Label. (xf(p).(yg(q).(x =msg=(E) y)))
6. p:Label. h(p) = ((f(p)) @ (g(p)))
7. p,q:Label. agree_on_common(|MS(E)|;map(msg(E);f(p));map(msg(E);f(q)))
8. p,q:Label. agree_on_common(|MS(E)|;map(msg(E);g(p));map(msg(E);g(q)))
9. p: Label
10. q: Label
11. q:Label. agree_on_common(|MS(E)|;map(msg(E);g(p));map(msg(E);g(q)))
12. q:Label. agree_on_common(|MS(E)|;map(msg(E);f(p));map(msg(E);f(q)))
13. h(p) = ((f(p)) @ (g(p)))
14. q:Label. (xf(p).(yg(q).(x =msg=(E) y)))
15. (xf(p).(yg(q).(x =msg=(E) y)))
16. agree_on_common(|MS(E)|;map(msg(E);f(p));map(msg(E);f(q)))
17. agree_on_common(|MS(E)|;map(msg(E);g(p));map(msg(E);g(q)))
18. q@0:Label. agree_on_common(|MS(E)|;map(msg(E);g(q));map(msg(E);g(q@0)))
19. q@0:Label. agree_on_common(|MS(E)|;map(msg(E);f(q));map(msg(E);f(q@0)))
20. h(q) = ((f(q)) @ (g(q)))
21. q@0:Label. (xf(q).(yg(q@0).(x =msg=(E) y)))

agree_on_common(|MS(E)|;map(msg(E);f(p)) @ map(msg(E);g(p));map(msg(E);f(q)) @ map(msg(E);g(q)))
By: BackThru Thm* as,bs,cs,ds:T List. (xcs.(x bs)) (xas.(x ds)) agree_on_common(T;as;cs) agree_on_common(T;bs;ds) agree_on_common(T;as @ bs;cs @ ds)
Generated subgoals:

1 (xmap(msg(E);f(q)).(x map(msg(E);g(p))))
2 (xmap(msg(E);f(p)).(x map(msg(E);g(q))))

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listassertapplyfunctionequalall

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