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Proof step 13 from proof cyclic-put-badclassfield (previous step)

cyclic(str, r, st[r0 -- fs ', val]), is_classtype(st[r0 -- _type] .type) ⊦ cyclic(str, r, st), fs ' = _type, junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ cyclic(str, r, st) ↔ (∃ refs, r0. ¬ dups(refs) ∧ r0 ∈ refs ∧ refs .first = r ∧ validrefs(str, refs + r0 ', st[r -- _type] .type, st))
Proof step 12:
∃ refs, r1. ¬ dups(refs) ∧ r1 ∈ refs ∧ refs .first = r ∧ validrefs(str, refs + r1 ', (st[r0 -- fs ', val][r -- _type]) .type, st[r0 -- fs ', val]), is_classtype(st[r0 -- _type] .type) ⊦ cyclic(str, r, st), fs ' = _type, junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class)

Rule argument

[crewrite-arg: cyclic-def-shortest , F , [st, r, str] → [st[r0 -- fs ', val], r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- fs ', val], r, str)]]