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Proof step 9 from proof cyclic-put-badclassfield (previous step)

is_classtype(st[r0 -- _type] .type), validrefs(str, (r ' + refs0) + r1 ', st[r -- _type] .type, st[r0 -- fs ', val]) ⊦ fs ' = _type, cyclic(str, r, st), junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs0), r ∈ refs0, r1 ≠ r ∧ ¬ r1 ∈ refs0

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 8:
is_classtype(st[r0 -- _type] .type), validrefs(str, (r ' + refs0) + r1 ', st[r -- _type] .type, st[r0 -- fs ', val]) ⊦ fs ' = _type, ∃ refs, r0. ¬ dups(refs) ∧ r0 ∈ refs ∧ refs .first = r ∧ validrefs(str, refs + r0 ', st[r -- _type] .type, st), junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs0), r ∈ refs0, r1 ≠ r ∧ ¬ r1 ∈ refs0

Rule argument

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

Additional information

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