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Proof step 65 from proof maxpath-array (previous step)

st[r -- i '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ cyclic(str, r, st), junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validrefset(str, r, st) = ∅ → maxpath(str, r, st) = 0
Proof step 51:
validrefset(str, r, st) ≠ ∅, st[r -- i '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ cyclic(str, r, st), junkref(str, r, st)
Proof step 64:
validrefset(str, r, st) = ∅, st[r -- i '] = refval(r0), 0 ≤ maxpath(str, r0, st), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ cyclic(str, r, st), junkref(str, r, st)

Rule argument

[crewrite-arg: maxpath-zero, F, [st, r, str] → [st, r, str]]

Additional information

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