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Proof step 8 from proof maxpath-array (previous step)

st[r -- i '] = refval(r0), maxpath(str, r, st) = 1 + # refs0, maxpath(str, r0, st) = # refs, 0 ≤ i, i < st[r -- _length] .intval, is_array(str, r, st), # refs0 < maxpath(str, r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), 0 < st[r -- _length] .intval, maxpath(str, r, st) ≤ maxpath(str, r0, st), refs ∈ validrefset(str, r0, st) ⊦ # validrefset(str, r0, st) = 0, validrefset(str, r0, st) = ∅, # validrefset(str, r, st) = 0, validrefset(str, r, st) = ∅, is_valid_ref(str, r0, st), junkref(str, r, st), cyclic(str, r, st), dups(refs0), r ∈ refs0, has_reffield((r ' + refs0) .last, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[crewrite-arg: validrefset-empty, F, [st, r, str] → [st, r0, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, str)]]