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At: local deliver switchable 2
1. E: EventStruct
2. P: (Label(|E| List))Prop
3. f,g:(Label(|E| List)). (p:Label. g(p) f(p)) P(f) P(g)
4. f,g:(Label(|E| List)). (a:|E|. p:Label. g(p) = filter(b.(b =msg=(E) a);f(p))) P(f) P(g)
5. f,g,h:(Label(|E| List)). (p,q:Label. (xf(p).(yg(q).(x =msg=(E) y)))) (p:Label. h(p) = ((f(p)) @ (g(p)))) P(f) P(g) P(h)

memorylessR(E) preserves tr.P(p.tr delivered at p)
By:
Unfolds [`preserved_by`;`R_memoryless`] 0
THEN
Reduce 0
THEN
ExRepD
THEN
SubstFor y 0
THEN
ThinVar `y'
THEN
BackThruHyp' 4
Generated subgoal:

14. x: |E| List
5. a: |E|
6. f,g:(Label(|E| List)). (a:|E|. p:Label. g(p) = filter(b.(b =msg=(E) a);f(p))) P(f) P(g)
a1:|E|. p:Label. (p.filter(b.(b =msg=(E) a);x) delivered at p)(p) = filter(b.(b =msg=(E) a1);(p.x delivered at p)(p)) |E| List

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listassertlambdaapplyfunctionequalpropimpliesallexists

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