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At: P causal iff 2
1. E: EventStruct
2. tr: |E| List
3. tr':|E| List. tr' tr (x:|E|. (i:. i < ||tr'|| & x = tr'[i]) (y:|E|. (i:. i < ||tr'|| & y = tr'[i]) & is-send(E)(y) & (y =msg=(E) x)))
4. i: ||tr||

j:||tr||. ji & is-send(E)(tr[j]) & (tr[j] =msg=(E) tr[i])
By: InstHyp [firstn(i+1;tr);tr[i]] 3
Generated subgoals:

1 firstn(i+1;tr) tr
2 i@0:. i@0 < ||firstn(i+1;tr)|| & tr[i] = firstn(i+1;tr)[i@0]
35. y:|E|. (i@0:. i@0 < ||firstn(i+1;tr)|| & y = firstn(i+1;tr)[i@0]) & is-send(E)(y) & (y =msg=(E) tr[i])
j:||tr||. ji & is-send(E)(tr[j]) & (tr[j] =msg=(E) tr[i])

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listassertnatural_numberaddless_thanapplyequalimpliesandallexists

(10steps) PrintForm Definitions Lemmas mb hybrid Sections GenAutomata Doc