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Proof step 56 from proof maxpath-array (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 55:
st[r -- i '] = refval(r0), 0 < st[r -- _length] .intval, validrefs(str, r ' + refs0, st[r -- _type] .type, st), 0 ≤ i, i < st[r -- _length] .intval, is_array(str, r, st) ⊦ r ' + refs0 ∈ validrefset(str, r, st), r ∈ refs0, dups(refs0), has_reffield((r ' + refs0) .last, st), junkref(str, r, st), cyclic(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]