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At: switch inv rel closure lemma1 1 2 1 1

1. E: EventStruct
2. tr: |E| List
3. ls: ||tr||
4. is-send(E)(tr[ls])
5. j:||tr||. ls < j is-send(E)(tr[j])
6. n:, i,j:||tr||. ij is-send(E)(tr[i]) is-send(E)(tr[j]) (i switchR(tr)^n ls) (j (switchR(tr)^*) ls)
7. i: ||tr||
8. j: ||tr||
9. ij
10. is-send(E)(tr[j])
11. n:
12. i switchR(tr)^n ls

is-send(E)(tr[i])

By: Inst Thm* E:EventStruct, tr:|E| List, ls,i:||tr||. is-send(E)(tr[ls]) (i (switchR(tr)^*) ls) is-send(E)(tr[i]) [E;tr;ls;i]

Generated subgoal:

1 i (switchR(tr)^*) ls


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listassertnatural_numberless_thanapplyimpliesall

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