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Proof step 7 from proof cyclic-put-badarrayfield (previous step)

is_arraytype(st[r0 -- _type] .type), r1 ∈ refs, validrefs(str, refs + r1 ', st[refs .first -- _type] .type, st[r0 -- fs ', val]) ⊦ fs ' = _type, fs ' = _length, cyclic(str, refs .first, st), junkref(str, refs .first, st), dups(refs)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ cyclic(str, r, st) ↔ (∃ refs, r0. ¬ dups(refs) ∧ r0 ∈ refs ∧ refs .first = r ∧ validrefs(str, refs + r0 ', st[r -- _type] .type, st))
Proof step 6:
is_arraytype(st[r0 -- _type] .type), r1 ∈ refs, validrefs(str, refs + r1 ', st[refs .first -- _type] .type, st[r0 -- fs ', val]) ⊦ fs ' = _type, fs ' = _length, ∃ refs0, r0. ¬ dups(refs0) ∧ r0 ∈ refs0 ∧ refs0 .first = refs .first ∧ validrefs(str, refs0 + r0 ', st[refs .first -- _type] .type, st), junkref(str, refs .first, st), dups(refs)

Rule argument

[crewrite-arg: cyclic-def-shortest , F , [st, r, str] → [st, refs .first, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, refs .first, str)]]