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Proof step 33 from proof maxpath-array (previous step)

st[r -- i '] = refval(r0), maxpath(str, r, st) = 1 + # refs0, maxpath(str, r0, st) = 1 + # refs1, is_valid_ref(str, r0, st), maxpath(str, r, st) ≤ maxpath(str, r0, st), 0 ≤ i, i < st[r -- _length] .intval, is_array(str, r, st), # refs0 ≤ # refs1, validrefs(str, r ' + refs0, st[r -- _type] .type, st), 0 < st[r -- _length] .intval, validrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st) ⊦ # validrefset(str, r0, st) = 0, validrefset(str, r0, st) = ∅, # validrefset(str, r, st) = 0, validrefset(str, r, st) = ∅, junkref(str, r, st), cyclic(str, r, st), dups(refs0), r ∈ refs0, has_reffield((r ' + refs0) .last, st), has_reffield((r0 ' + refs1) .last, st), dups(refs1), r0 ∈ refs1, r ≠ r0 ∧ ¬ r ∈ refs1 ∧ validrefs(str, r ' + r0 ' + refs1, st[r -- _type] .type, st)

User applied rule cut formula

And obtained the following new goals

Rule argument

[fma-arg: validrefs(str, r ' + r0 ' + refs1, st[r -- _type] .type, st) ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (validrefs (str, r ' + r0 ' + refs1, st[r -- _type] .type, st))]]