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Implemented an instance of
Lookup nat (St * option (L * St)) (trace St L)
for an easy access toi
th transition in a trace.An example usage included in this PR is a fact that in an
mtrace_valid
trace every pair of adjacent states is related by the model transition relation.Also added
Lookup nat St (trace St L)
andLookup nat L (trace St L)
to access specifically states or labels. The lemmapred_at_trace_lookup
expresses the correspondence between these lookups and existingpred_at
predicate.