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Proof step 63 from proof maxpath-array (previous step)

validrefset(str, r, st) = ∅, st[r -- i '] = refval(r0), 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 spec-lemma

And obtained the following new goals

Proof step 52:
¬ junkref(str, r, st), ¬ cyclic(str, r, st) ⊦ ∃ refs. validrefs(str, refs, st[r -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st)
Proof step 62:
∃ refs. validrefs(str, refs, st[r -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st), validrefset(str, r, st) = ∅, st[r -- i '] = refval(r0), 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

[speclemmaarg: ¬ junkref(str, r, st), ¬ cyclic(str, r, st) ,∃ refs. validrefs(str, refs, st[r -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st) ,[str, r, st] → [str, r, st] ,F ,cyclic , ,exvalidrefs-maxlength ]

Additional information

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